%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI272_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:34:19 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 12 ( 0 atm; 4 fun; 4 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : ( $sum(X0,0/1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_27) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : ( $sum(X0,0/1) = X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f14,plain,
! [X0: $rat] : ( $sum(X0,0/1) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: $rat] : ( $sum(X0,0/1) != X0 ),
inference(cnf_transformation,[],[f14]) ).
tff(f16,plain,
$false,
inference(evaluation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI272_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 20:48:47 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 0.21/0.27 % (2991709)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (2991715)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3353590912_3000 on theBenchmark for (3000ds/0Mi)
% 0.21/0.27 % (2991715)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.27 % (2991715)Terminated due to inappropriate strategy.
% 0.21/0.27 % (2991715)------------------------------
% 0.21/0.27 % (2991715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (2991715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (2991715)CaDiCaL version: 2.1.3
% 0.21/0.27 % (2991715)Termination reason: Inappropriate
% 0.21/0.27 % (2991715)Time elapsed: 0.0000 s
% 0.21/0.27 % (2991715)Peak memory usage: 10 MB
% 0.21/0.27 % (2991715)------------------------------
% 0.21/0.27 % (2991715)------------------------------
% 0.21/0.27 % (2991716)% WARNING: option uhcvi not known.
% 0.21/0.27 % (2991717)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1206976420:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.21/0.27 % (2991720)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=114049288:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.21/0.27 % (2991716)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1980806547:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.21/0.27 % (2991718)dis+10_1_sil=32000:sp=arity:random_seed=3761182901:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.21/0.27 % (2991721)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2523878182:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.21/0.27 % (2991722)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2223208158:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.21/0.27 % (2991720) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2991709-2991720"...
% 0.21/0.27 % (2991717) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2991709-2991717"...
% 0.21/0.27 % (2991718) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2991709-2991718"...
% 0.21/0.27 % (2991716) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2991709-2991716"...
% 0.21/0.27 % (2991721) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2991709-2991721"...
% 0.21/0.27 % (2991722) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2991709-2991722"...
% 0.21/0.27 % (2991717)...printing done.
% 0.21/0.27 % (2991720)...printing done.
% 0.21/0.27 % (2991718)...printing done.
% 0.21/0.27 % (2991716)...printing done.
% 0.21/0.27 % (2991721)...printing done.
% 0.21/0.27 % (2991722)...printing done.
% 0.21/0.27 % (2991726)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=77452807:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.27 % (2991717)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (2991717)------------------------------
% 0.21/0.27 % (2991717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (2991717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (2991717)CaDiCaL version: 2.1.3
% 0.21/0.27 % (2991717)Termination reason: Refutation
% 0.21/0.27 % (2991717)Time elapsed: 0.001 s
% 0.21/0.27 % (2991717)Peak memory usage: 11 MB
% 0.21/0.27 % (2991709)Success in time 0.023 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------