%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP122-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:08:57 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 36
% Syntax : Number of formulae : 59 ( 3 unt; 0 def)
% Number of atoms : 179 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 216 ( 96 ~; 120 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 2 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
actual_world(skc15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
actual_world(skc10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
( ssSkC0
| city(skc15,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
( ssSkC0
| chevy(skc15,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
( ssSkC0
| white(skc15,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
( ssSkC0
| dirty(skc15,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
( ssSkC0
| old(skc15,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
( ssSkC0
| placename(skc15,skc19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
( ssSkC0
| hollywood_placename(skc15,skc19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
( ssSkC0
| event(skc15,skc16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
( ssSkC0
| present(skc15,skc16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
( ssSkC0
| barrel(skc15,skc16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f13,negated_conjecture,
( ssSkC0
| lonely(skc15,skc17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f14,negated_conjecture,
( ssSkC0
| street(skc15,skc17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f15,negated_conjecture,
( ~ ssSkC0
| event(skc10,skc11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f16,negated_conjecture,
( ~ ssSkC0
| present(skc10,skc11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f17,negated_conjecture,
( ~ ssSkC0
| barrel(skc10,skc11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f18,negated_conjecture,
( ~ ssSkC0
| lonely(skc10,skc14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f19,negated_conjecture,
( ~ ssSkC0
| street(skc10,skc14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f20,negated_conjecture,
( ~ ssSkC0
| old(skc10,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f21,negated_conjecture,
( ~ ssSkC0
| dirty(skc10,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f22,negated_conjecture,
( ~ ssSkC0
| white(skc10,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f23,negated_conjecture,
( ~ ssSkC0
| chevy(skc10,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
( ~ ssSkC0
| city(skc10,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f25,negated_conjecture,
( ~ ssSkC0
| hollywood_placename(skc10,skc13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f26,negated_conjecture,
( ~ ssSkC0
| placename(skc10,skc13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
( ssSkC0
| agent(skc15,skc16,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f28,negated_conjecture,
( ssSkC0
| in(skc15,skc16,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f29,negated_conjecture,
( ssSkC0
| of(skc15,skc19,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
( ssSkC0
| down(skc15,skc16,skc17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( ~ ssSkC0
| down(skc10,skc11,skc14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( ~ ssSkC0
| in(skc10,skc11,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( ~ ssSkC0
| agent(skc10,skc11,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( ~ ssSkC0
| of(skc10,skc13,skc12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ event(X0,X1)
| ~ present(X0,X1)
| ~ barrel(X0,X1)
| ~ down(X0,X1,X2)
| ~ lonely(X0,X2)
| ~ street(X0,X2)
| ~ in(X0,X1,X3)
| ~ agent(X0,X1,X3)
| ~ old(X0,X3)
| ~ dirty(X0,X3)
| ~ white(X0,X3)
| ~ chevy(X0,X3)
| ~ city(X0,X3)
| ~ of(X0,X4,X3)
| ~ hollywood_placename(X0,X4)
| ~ placename(X0,X4)
| ~ actual_world(X0)
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ city(X0,X1)
| ~ chevy(X0,X1)
| ~ white(X0,X1)
| ~ dirty(X0,X1)
| ~ old(X0,X1)
| ~ agent(X0,X2,X1)
| ~ in(X0,X2,X1)
| ~ placename(X0,X3)
| ~ hollywood_placename(X0,X3)
| ~ of(X0,X3,X1)
| ~ event(X0,X2)
| ~ present(X0,X2)
| ~ barrel(X0,X2)
| ~ down(X0,X2,X4)
| ~ lonely(X0,X4)
| ~ street(X0,X4)
| ~ actual_world(X0)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,plain,
( ssSkC0
| ~ city(skc15,skc18) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f38,plain,
( ssSkC0
| ~ chevy(skc15,skc18) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f39,plain,
( ssSkC0
| ~ white(skc15,skc18) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f40,plain,
( ssSkC0
| ~ dirty(skc15,skc18) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f41,plain,
( ssSkC0
| ~ old(skc15,skc18) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f42,plain,
( ssSkC0
| ~ lonely(skc15,skc17) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f43,plain,
( ssSkC0
| ~ street(skc15,skc17) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f44,plain,
( ~ ssSkC0
| ~ lonely(skc10,skc14) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f45,plain,
( ~ ssSkC0
| ~ street(skc10,skc14) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f46,plain,
( ~ ssSkC0
| ~ old(skc10,skc12) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f47,plain,
( ~ ssSkC0
| ~ dirty(skc10,skc12) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f48,plain,
( ~ ssSkC0
| ~ white(skc10,skc12) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f49,plain,
( ~ ssSkC0
| ~ chevy(skc10,skc12) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f50,plain,
( ~ ssSkC0
| ~ city(skc10,skc12) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f51,plain,
( ssSkC0
| ~ agent(skc15,skc16,skc18) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f52,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f53,plain,
( ssSkC0
| ~ down(skc15,skc16,skc17) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f54,plain,
( ~ ssSkC0
| ~ down(skc10,skc11,skc14) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f55,plain,
( ~ ssSkC0
| ~ agent(skc10,skc11,skc12) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f56,plain,
( ~ ssSkC0
| ~ of(skc10,skc13,skc12) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f57,plain,
! [X2,X3,X0,X1,X4] :
( ~ event(X0,X1)
| ~ present(X0,X1)
| ~ barrel(X0,X1)
| down(X0,X1,X2)
| lonely(X0,X2)
| street(X0,X2)
| ~ in(X0,X1,X3)
| agent(X0,X1,X3)
| old(X0,X3)
| dirty(X0,X3)
| white(X0,X3)
| chevy(X0,X3)
| city(X0,X3)
| of(X0,X4,X3)
| ~ hollywood_placename(X0,X4)
| ~ placename(X0,X4)
| ~ actual_world(X0)
| ssSkC0 ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4] :
( city(X0,X1)
| chevy(X0,X1)
| white(X0,X1)
| dirty(X0,X1)
| old(X0,X1)
| agent(X0,X2,X1)
| ~ in(X0,X2,X1)
| ~ placename(X0,X3)
| ~ hollywood_placename(X0,X3)
| of(X0,X3,X1)
| ~ event(X0,X2)
| ~ present(X0,X2)
| ~ barrel(X0,X2)
| down(X0,X2,X4)
| lonely(X0,X4)
| street(X0,X4)
| ~ actual_world(X0)
| ~ ssSkC0 ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f101,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f1,f2,f37,f38,f39,f40,f41,f8,f9,f10,f11,f12,f42,f43,f15,f16,f17,f44,f45,f46,f47,f48,f49,f50,f25,f26,f51,f28,f52,f53,f54,f32,f55,f56,f57,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP122-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 18:08:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 % (3785696)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3785701)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2863262753_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.46 % Detected minimum model sizes of [1]
% 0.18/0.46 % Detected maximum model sizes of [10]
% 0.18/0.46 % TRYING [1]
% 0.18/0.46 % TRYING [2]
% 0.18/0.46 % TRYING [3]
% 0.18/0.46 % TRYING [4]
% 0.18/0.46 % TRYING [5]
% 0.18/0.46 % TRYING [6]
% 0.18/0.46 % (3785702)% WARNING: option uhcvi not known.
% 0.18/0.46 % TRYING [7]
% 0.18/0.46 % TRYING [8]
% 0.18/0.46 % TRYING [9]
% 0.18/0.46 % TRYING [10]
% 0.18/0.46 % (3785702)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=686537284:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.46 % (3785701) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3785696-3785701"...
% 0.18/0.46 % (3785703)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2885264390:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46 % (3785704)dis+10_1_sil=32000:sp=arity:random_seed=821474:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46 % (3785706)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=195843895:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.46 % (3785705)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3334142537:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (3785707)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3999662072:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (3785701)...printing done.
% 0.18/0.46 % (3785701)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (3785701)------------------------------
% 0.18/0.46 % (3785701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (3785701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (3785701)CaDiCaL version: 2.1.3
% 0.18/0.46 % (3785701)Termination reason: Refutation
% 0.18/0.46 % (3785701)Time elapsed: 0.008 s
% 0.18/0.46 % (3785701)Peak memory usage: 12 MB
% 0.18/0.46 % (3785701)Instructions burned: 27 (million)
% 0.18/0.46 % (3785696)Success in time 0.034 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------