%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM622+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 : 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 12:25:03 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 40 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 32 ( 9 ~; 6 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f111,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f118,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).
fof(f119,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f120,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(negated_conjecture,[status(cth)],[f119]) ).
fof(f143,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(flattening,[],[f120]) ).
fof(f266,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f283,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(ennf_transformation,[],[f118]) ).
fof(f821,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f896,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f897,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f916,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f283]) ).
fof(f917,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f143]) ).
fof(f1768,plain,
( aElementOf0(sdtlpdtrp0(xe,xn),sdtlpdtrp0(xN,xm))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[],[f916,f821]) ).
fof(f1779,plain,
aElementOf0(sdtlpdtrp0(xe,xn),sdtlpdtrp0(xN,xm)),
inference(forward_subsumption_resolution,[],[f1768,f897]) ).
fof(f1780,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(forward_demodulation,[],[f1779,f896]) ).
fof(f1781,plain,
$false,
inference(forward_subsumption_resolution,[],[f1780,f917]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM622+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:51:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.49 % (3861570)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (3861575)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=288003492_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (3861576)% WARNING: option uhcvi not known.
% 0.17/0.49 % (3861576)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4007775531:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (3861578)dis+10_1_sil=32000:sp=arity:random_seed=1247895589:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (3861579)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=407629188:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (3861577)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2757720756:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (3861580)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2698394852:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (3861581)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1143477739:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % (3861578) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3861570-3861578"...
% 0.17/0.49 % (3861578)...printing done.
% 0.17/0.49 % (3861578)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (3861578)------------------------------
% 0.17/0.49 % (3861578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (3861578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (3861578)CaDiCaL version: 2.1.3
% 0.17/0.49 % (3861578)Termination reason: Refutation
% 0.17/0.49 % (3861578)Time elapsed: 0.025 s
% 0.17/0.49 % (3861578)Peak memory usage: 12 MB
% 0.17/0.49 % (3861578)Instructions burned: 39 (million)
% 0.17/0.49 % (3861570)Success in time 0.067 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------