%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV052-1.002.002 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 11:15:06 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 14 ( 12 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 1 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( X0 = o
| X0 = i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_domain) ).
fof(f2,plain,
! [X0] :
( o = X0
| i = X0 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0] : inv(X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_inverse) ).
fof(f4,axiom,
! [X0,X1] : unpack1(X0,X1,pack1(X0,X1),pack2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1) ).
fof(f5,axiom,
! [X0,X1] : unpack1(inv(X0),X1,pack1(X0,X1),pack2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_01) ).
fof(f6,axiom,
! [X0,X1] : unpack1(X0,inv(X1),pack1(X0,X1),pack2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_02) ).
fof(f7,axiom,
! [X0,X1] : unpack1(X0,X1,inv(pack1(X0,X1)),pack2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_03) ).
fof(f8,axiom,
! [X0,X1] : unpack1(X0,X1,pack1(X0,X1),inv(pack2(X0,X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_04) ).
fof(f9,axiom,
! [X0,X1] : unpack2(X0,X1,pack1(X0,X1),pack2(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2) ).
fof(f10,axiom,
! [X0,X1] : unpack2(inv(X0),X1,pack1(X0,X1),pack2(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_05) ).
fof(f11,axiom,
! [X0,X1] : unpack2(X0,inv(X1),pack1(X0,X1),pack2(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_06) ).
fof(f12,axiom,
! [X0,X1] : unpack2(X0,X1,inv(pack1(X0,X1)),pack2(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_07) ).
fof(f13,axiom,
! [X0,X1] : unpack2(X0,X1,pack1(X0,X1),inv(pack2(X0,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_08) ).
fof(f32,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f12,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV052-1.002.002 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.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 11:16:36 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
% 0.18/0.47 % (3356329)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3356336)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3405321766:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (3356335)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3356334)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=78606616_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (3356335)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1735885279:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (3356337)dis+10_1_sil=32000:sp=arity:random_seed=3513590649:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % Detected minimum model sizes of [1]
% 0.18/0.47 % (3356338)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=704192329:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % Detected maximum model sizes of [2]
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % (3356340)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4224648455:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (3356339)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2051560124:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (3356334) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3356329-3356334"...
% 0.18/0.47 % (3356334)...printing done.
% 0.18/0.47 % (3356334)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3356334)------------------------------
% 0.18/0.47 % (3356334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3356334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3356334)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3356334)Termination reason: Refutation
% 0.18/0.47 % (3356334)Time elapsed: 0.002 s
% 0.18/0.47 % (3356334)Peak memory usage: 11 MB
% 0.18/0.47 % (3356334)Instructions burned: 3 (million)
% 0.18/0.47 % (3356329)Success in time 0.04 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------