%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ028-6 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:31:58 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.44s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 41
% Syntax : Number of formulae : 51 ( 43 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
person(n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_1) ).
fof(f2,axiom,
person(n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_2) ).
fof(f3,axiom,
person(n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_3) ).
fof(f4,axiom,
person(n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_4) ).
fof(f5,axiom,
person(n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_5) ).
fof(f6,axiom,
person(n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_6) ).
fof(f7,axiom,
not_equal(n1,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_2) ).
fof(f8,axiom,
not_equal(n1,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_3) ).
fof(f9,axiom,
not_equal(n1,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_4) ).
fof(f10,axiom,
not_equal(n1,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_5) ).
fof(f11,axiom,
not_equal(n1,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_6) ).
fof(f12,axiom,
not_equal(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_1) ).
fof(f13,axiom,
not_equal(n2,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_3) ).
fof(f14,axiom,
not_equal(n2,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_4) ).
fof(f15,axiom,
not_equal(n2,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_5) ).
fof(f16,axiom,
not_equal(n2,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_6) ).
fof(f17,axiom,
not_equal(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_1) ).
fof(f18,axiom,
not_equal(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_2) ).
fof(f19,axiom,
not_equal(n3,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_4) ).
fof(f20,axiom,
not_equal(n3,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_5) ).
fof(f21,axiom,
not_equal(n3,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_6) ).
fof(f22,axiom,
not_equal(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_1) ).
fof(f23,axiom,
not_equal(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_2) ).
fof(f24,axiom,
not_equal(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_3) ).
fof(f25,axiom,
not_equal(n4,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_5) ).
fof(f26,axiom,
not_equal(n4,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_6) ).
fof(f27,axiom,
not_equal(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_1) ).
fof(f28,axiom,
not_equal(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_2) ).
fof(f29,axiom,
not_equal(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_3) ).
fof(f30,axiom,
not_equal(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_4) ).
fof(f31,axiom,
not_equal(n5,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_6) ).
fof(f32,axiom,
not_equal(n6,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_1) ).
fof(f33,axiom,
not_equal(n6,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_2) ).
fof(f34,axiom,
not_equal(n6,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_3) ).
fof(f35,axiom,
not_equal(n6,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_4) ).
fof(f36,axiom,
not_equal(n6,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_5) ).
fof(f37,axiom,
! [X0,X1] :
( familiar(X0,X1)
| not_familiar(X0,X1)
| ~ person(X0)
| ~ person(X1)
| ~ not_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',familiar_or_not) ).
fof(f38,axiom,
! [X0,X1] :
( ~ familiar(X0,X1)
| familiar(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_familiar) ).
fof(f39,axiom,
! [X0,X1] :
( ~ not_familiar(X0,X1)
| not_familiar(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_not_familiar) ).
fof(f40,negated_conjecture,
! [X2,X0,X1] :
( ~ familiar(X0,X1)
| ~ familiar(X1,X2)
| ~ familiar(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_familiar) ).
fof(f41,negated_conjecture,
! [X2,X0,X1] :
( ~ not_familiar(X0,X1)
| ~ not_familiar(X1,X2)
| ~ not_familiar(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_not_familiar) ).
fof(f42,plain,
~ person(n1),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f43,plain,
~ person(n2),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f44,plain,
~ person(n3),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f45,plain,
~ person(n4),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f46,plain,
~ person(n5),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f47,plain,
~ person(n6),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f48,plain,
! [X0,X1] :
( ~ familiar(X0,X1)
| not_familiar(X0,X1)
| person(X0)
| person(X1)
| ~ not_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f49,plain,
! [X0,X1] :
( familiar(X0,X1)
| ~ familiar(X1,X0) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f50,plain,
! [X2,X0,X1] :
( familiar(X0,X1)
| familiar(X1,X2)
| familiar(X2,X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f87,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f42,f43,f44,f45,f46,f47,f7,f8,f9,f10,f11,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f48,f49,f39,f50,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ028-6 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 22:31:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39 Running first-order model finding
% 0.08/0.39 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
% 0.08/0.44 % (235454)Will run a generic schedule for satisfiability detection.
% 0.08/0.44 % (235460)% WARNING: option uhcvi not known.
% 0.08/0.44 % (235463)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2119399:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.44 % (235459)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3953732065_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.44 % (235465)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1852830360:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.44 % (235460)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2795022067:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.44 % (235462)dis+10_1_sil=32000:sp=arity:random_seed=3082774552:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.44 % (235461)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=707411727:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.44 % (235464)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3266781485:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.44 % Detected minimum model sizes of [1]
% 0.08/0.44 % Detected maximum model sizes of [6]
% 0.08/0.44 % TRYING [1]
% 0.08/0.44 % TRYING [2]
% 0.08/0.44 % TRYING [3]
% 0.08/0.44 % TRYING [4]
% 0.08/0.44 % TRYING [5]
% 0.08/0.44 % TRYING [6]
% 0.08/0.44 % (235459) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-235454-235459"...
% 0.08/0.44 % (235459)...printing done.
% 0.08/0.44 % (235459)Refutation found. Thanks to Tanya!
% 0.08/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.44 % (235459)------------------------------
% 0.08/0.44 % (235459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.44 % (235459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.44 % (235459)CaDiCaL version: 2.1.3
% 0.08/0.44 % (235459)Termination reason: Refutation
% 0.08/0.44 % (235459)Time elapsed: 0.006 s
% 0.08/0.44 % (235459)Peak memory usage: 11 MB
% 0.08/0.44 % (235459)Instructions burned: 13 (million)
% 0.08/0.44 % (235454)Success in time 0.042 s
% 0.08/0.44 % Vampire exiting
%------------------------------------------------------------------------------