%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 02:32:15 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.24s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : 'E'(f('AP'(s(s('0')),X0)),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_02) ).
fof(f3,axiom,
! [X0] : 'E'(f(X0),s('0')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_03) ).
fof(f4,axiom,
! [X0,X1] :
( ~ 'E'(f(X0),'0')
| ~ 'E'(f(X1),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_04) ).
fof(f6,plain,
! [X0] : ~ 'E'(f(X0),'0'),
inference(forward_subsumption_resolution,[],[f4,f3]) ).
fof(f7,plain,
$false,
inference(forward_subsumption_resolution,[],[f2,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n008.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 18:00:09 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 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
% 0.10/0.24 % (2478280)Will run a generic schedule for satisfiability detection.
% 0.10/0.24 % (2478286)% WARNING: option uhcvi not known.
% 0.10/0.24 % (2478291)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1676355535:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.24 % (2478287)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=62681922:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.24 % (2478288)dis+10_1_sil=32000:sp=arity:random_seed=1712286120:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.24 % (2478289)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=379175577:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.24 % (2478286)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=767040592:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.24 % (2478290)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=818736310:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.24 % (2478287) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2478280-2478287"...
% 0.10/0.24 % (2478288) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2478280-2478288"...
% 0.10/0.24 % (2478291) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2478280-2478291"...
% 0.10/0.24 % (2478289) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2478280-2478289"...
% 0.10/0.24 % (2478286) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2478280-2478286"...
% 0.10/0.24 % (2478290) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2478280-2478290"...
% 0.10/0.24 % (2478287)...printing done.
% 0.10/0.24 % (2478291)...printing done.
% 0.10/0.24 % (2478288)...printing done.
% 0.10/0.24 % (2478289)...printing done.
% 0.10/0.24 % (2478286)...printing done.
% 0.10/0.24 % (2478290)...printing done.
% 0.10/0.24 % (2478287)Refutation found. Thanks to Tanya!
% 0.10/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.24 % (2478287)------------------------------
% 0.10/0.24 % (2478287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.24 % (2478287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.24 % (2478287)CaDiCaL version: 2.1.3
% 0.10/0.24 % (2478287)Termination reason: Refutation
% 0.10/0.24 % (2478287)Time elapsed: 0.001 s
% 0.10/0.24 % (2478287)Peak memory usage: 11 MB
% 0.10/0.24 % (2478280)Success in time 0.036 s
% 0.10/0.24 % Vampire exiting
%------------------------------------------------------------------------------