%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM632+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:25:05 PM UTC 2026
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,axiom,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5321) ).
fof(f114,axiom,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5568) ).
fof(f115,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f116,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f139,plain,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(flattening,[],[f116]) ).
fof(f893,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xd,xn),
inference(cnf_transformation,[],[f112]) ).
fof(f896,plain,
sdtlpdtrp0(xd,xn) = sdtlpdtrp0(xc,xQ),
inference(cnf_transformation,[],[f114]) ).
fof(f897,plain,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(cnf_transformation,[],[f139]) ).
fof(f1108,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xc,xQ),
inference(superposition,[],[f893,f896]) ).
fof(f1109,plain,
$false,
inference(forward_subsumption_resolution,[],[f1108,f897]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM632+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n002.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 20:53:51 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.19/0.47 % (3864016)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (3864026)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2104751057:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.47 % (3864022)% WARNING: option uhcvi not known.
% 0.19/0.47 % (3864021)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1003548827_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.47 % (3864022)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=245800053:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.47 % (3864023)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3461351018:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.47 % (3864024)dis+10_1_sil=32000:sp=arity:random_seed=1031538049:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.47 % (3864025)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4023138824:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.47 % (3864027)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=443610488:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.47 % (3864026) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3864016-3864026"...
% 0.19/0.47 % (3864026)...printing done.
% 0.19/0.47 % (3864026)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (3864026)------------------------------
% 0.19/0.47 % (3864026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47 % (3864026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47 % (3864026)CaDiCaL version: 2.1.3
% 0.19/0.47 % (3864026)Termination reason: Refutation
% 0.19/0.47 % (3864026)Time elapsed: 0.011 s
% 0.19/0.47 % (3864026)Peak memory usage: 12 MB
% 0.19/0.47 % (3864026)Instructions burned: 34 (million)
% 0.19/0.47 % (3864016)Success in time 0.055 s
% 0.19/0.47 % Vampire exiting
%------------------------------------------------------------------------------