%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM559+1 : TPTP v9.3.1. Released v4.0.0.
% 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 12:24:48 PM UTC 2026
% Result : ContradictoryAxioms 0.06s 0.36s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).
fof(f69,axiom,
aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2338) ).
fof(f334,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f68]) ).
fof(f335,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f69]) ).
fof(f337,plain,
$false,
inference(forward_subsumption_resolution,[],[f334,f335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM559+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 20:29:05 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.33 Running first-order model finding
% 0.06/0.33 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
% 0.06/0.36 % (2709129)Will run a generic schedule for satisfiability detection.
% 0.06/0.36 % (2709135)% WARNING: option uhcvi not known.
% 0.06/0.36 % (2709137)dis+10_1_sil=32000:sp=arity:random_seed=1124828288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.36 % (2709134)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2362400533_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.36 % (2709135)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3570990392:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.36 % (2709136)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=285782185:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.36 % (2709138)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=651301300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.36 % (2709139)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3818032046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.36 % (2709140)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2977997968:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.36 % (2709139) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2709129-2709139"...
% 0.06/0.36 % (2709137) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2709129-2709137"...
% 0.06/0.36 % (2709136) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2709129-2709136"...
% 0.06/0.36 % (2709135) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2709129-2709135"...
% 0.06/0.36 % (2709139)...printing done.
% 0.06/0.36 % (2709137)...printing done.
% 0.06/0.36 % (2709136)...printing done.
% 0.06/0.36 % (2709138) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2709129-2709138"...
% 0.06/0.36 % (2709135)...printing done.
% 0.06/0.36 % (2709139)Refutation found. Thanks to Tanya!
% 0.06/0.36 % SZS status ContradictoryAxioms for theBenchmark
% 0.06/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.36 % (2709139)------------------------------
% 0.06/0.36 % (2709139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.36 % (2709139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.36 % (2709139)CaDiCaL version: 2.1.3
% 0.06/0.36 % (2709139)Termination reason: Refutation
% 0.06/0.36 % (2709139)Time elapsed: 0.001 s
% 0.06/0.36 % (2709139)Peak memory usage: 11 MB
% 0.06/0.36 % (2709139)Instructions burned: 3 (million)
% 0.06/0.36 % (2709129)Success in time 0.028 s
% 0.06/0.36 % Vampire exiting
%------------------------------------------------------------------------------