%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM514+3 : 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 12:24:37 PM UTC 2026
% Result : Theorem 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 31 ( 14 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 31 ( 10 ~; 5 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
( aNaturalNumber0(sdtsldt0(xk,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2613) ).
fof(f56,conjecture,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f141,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
& ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f142,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
& ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
inference(flattening,[],[f141]) ).
fof(f337,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f341,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f345,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) ),
inference(cnf_transformation,[],[f142]) ).
fof(f395,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(resolution,[],[f341,f345]) ).
fof(f396,plain,
$false,
inference(forward_subsumption_resolution,[],[f395,f337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM514+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 20:16:49 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.07/0.37 % (2703666)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (2703672)% WARNING: option uhcvi not known.
% 0.07/0.37 % (2703677)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1724114499:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % (2703674)dis+10_1_sil=32000:sp=arity:random_seed=2253013329:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (2703671)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1487206994_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (2703675)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=102847739:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (2703673)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2793663158:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (2703672)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2210784682:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (2703676)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4207379183:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (2703676) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2703666-2703676"...
% 0.07/0.37 % (2703676)...printing done.
% 0.07/0.37 % (2703676)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Theorem for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (2703676)------------------------------
% 0.07/0.37 % (2703676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (2703676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (2703676)CaDiCaL version: 2.1.3
% 0.07/0.37 % (2703676)Termination reason: Refutation
% 0.07/0.37 % (2703676)Time elapsed: 0.004 s
% 0.07/0.37 % (2703676)Peak memory usage: 12 MB
% 0.07/0.37 % (2703676)Instructions burned: 11 (million)
% 0.07/0.37 % (2703666)Success in time 0.03 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------