%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:32:06 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 16
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(X0,X1,X2,X3,X4)
| p(X5,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(X0,X1,X2,X3,X4)
| ~ neq(X0,X1)
| ~ neq(X0,X5)
| p(X0,X5,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(X0,X1,X2,X3,X4)
| ~ neq(X0,X2)
| ~ neq(X0,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X5)
| p(X0,X1,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(X0,X1,X2,X3,X4)
| ~ neq(X0,X3)
| ~ neq(X0,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X5)
| ~ neq(X2,X3)
| ~ neq(X2,X5)
| p(X0,X1,X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(X0,X1,X2,X3,X4)
| ~ neq(X0,X4)
| ~ neq(X0,X5)
| ~ neq(X1,X4)
| ~ neq(X1,X5)
| ~ neq(X2,X4)
| ~ neq(X2,X5)
| ~ neq(X3,X4)
| ~ neq(X3,X5)
| p(X0,X1,X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
fof(f6,axiom,
~ neq(s0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq1) ).
fof(f7,axiom,
neq(s0,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).
fof(f8,axiom,
neq(s0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).
fof(f9,axiom,
neq(s1,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).
fof(f10,axiom,
~ neq(s1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq5) ).
fof(f11,axiom,
neq(s1,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).
fof(f12,axiom,
neq(s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).
fof(f13,axiom,
neq(s2,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).
fof(f14,axiom,
~ neq(s2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq9) ).
fof(f15,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
fof(f16,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f38,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f12,f13,f14,f15,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:38:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.47 % (986556)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (986565)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1187952649:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (986562)% WARNING: option uhcvi not known.
% 0.17/0.47 % (986561)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=216662578_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (986562)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=141087189:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (986563)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2939712544:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (986564)dis+10_1_sil=32000:sp=arity:random_seed=671247682:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (986567)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1169544199:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (986566)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=651028807:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % Detected minimum model sizes of [1]
% 0.17/0.47 % Detected maximum model sizes of [3]
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (986561) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-986556-986561"...
% 0.17/0.47 % (986561)...printing done.
% 0.17/0.47 % (986561)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (986561)------------------------------
% 0.17/0.47 % (986561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (986561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (986561)CaDiCaL version: 2.1.3
% 0.17/0.47 % (986561)Termination reason: Refutation
% 0.17/0.47 % (986561)Time elapsed: 0.006 s
% 0.17/0.47 % (986561)Peak memory usage: 11 MB
% 0.17/0.47 % (986561)Instructions burned: 12 (million)
% 0.17/0.47 % (986556)Success in time 0.05 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------