%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI490_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:34:41 AM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 27 ( 5 atm; 4 fun; 15 num; 3 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 : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] :
( ( $sum(12/5,37/10) = X0 )
=> $less(X0,7/1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_5) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $sum(12/5,37/10) = X0 )
=> $less(X0,7/1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f14,plain,
? [X0: $real] :
( ~ $less(X0,7/1)
& ( $sum(12/5,37/10) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
$sum(12/5,37/10) = sK0,
inference(cnf_transformation,[],[f14]) ).
tff(f16,plain,
~ $less(sK0,7/1),
inference(cnf_transformation,[],[f14]) ).
tff(f17,plain,
sK0 = 61/10,
inference(evaluation,[],[f15]) ).
tff(f18,plain,
~ $less(61/10,7/1),
inference(forward_demodulation,[],[f16,f17]) ).
tff(f19,plain,
$false,
inference(evaluation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI490_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:50:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % (3742173)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (3742189)% WARNING: option uhcvi not known.
% 0.09/0.16 % (3742189)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1997736277:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (3742187)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1118117305_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (3742192)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1799537708:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (3742191)dis+10_1_sil=32000:sp=arity:random_seed=1354004537:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (3742187)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.16 % (3742187)Terminated due to inappropriate strategy.
% 0.09/0.16 % (3742187)------------------------------
% 0.09/0.16 % (3742187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3742187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3742187)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3742187)Termination reason: Inappropriate
% 0.09/0.16 % (3742187)Time elapsed: 0.0000 s
% 0.09/0.16 % (3742187)Peak memory usage: 10 MB
% 0.09/0.16 % (3742192) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3742173-3742192"...
% 0.09/0.16 % (3742191) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3742173-3742191"...
% 0.09/0.16 % (3742189) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3742173-3742189"...
% 0.09/0.16 % (3742187)------------------------------
% 0.09/0.16 % (3742187)------------------------------
% 0.09/0.16 % (3742192)...printing done.
% 0.09/0.16 % (3742191)...printing done.
% 0.09/0.16 % (3742189)...printing done.
% 0.09/0.16 % (3742193)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1920274217:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (3742192)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.16 % (3742192)------------------------------
% 0.09/0.16 % (3742192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3742192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3742192)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3742192)Termination reason: Refutation
% 0.09/0.16 % (3742192)Time elapsed: 0.001 s
% 0.09/0.16 % (3742192)Peak memory usage: 11 MB
% 0.09/0.16 % (3742173)Success in time 0.029 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------