%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM322+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:18:19 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn5) ).
fof(f291,axiom,
! [X0,X1,X2] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_neg(X2)) )
=> sum(X0,X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).
fof(f402,conjecture,
? [X0] : sum(n5,nn5,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n5_nn5_what) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n5,nn5,X0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f431,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f291]) ).
fof(f432,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(flattening,[],[f431]) ).
fof(f450,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f456,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f583,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f743,plain,
! [X2,X0,X1] :
( sum(X0,X1,n0)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(cnf_transformation,[],[f432]) ).
fof(f855,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(cnf_transformation,[],[f450]) ).
fof(f1124,plain,
! [X0] :
( ~ rdn_translate(nn5,rdn_neg(X0))
| ~ rdn_translate(n5,rdn_pos(X0)) ),
inference(resolution,[],[f743,f855]) ).
fof(f1131,plain,
~ rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(resolution,[],[f1124,f583]) ).
fof(f1132,plain,
$false,
inference(forward_subsumption_resolution,[],[f1131,f456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM322+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 19:32:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.16/0.47 % (3826967)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3826976)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=392057318:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3826973)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3826972)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2233633765_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (3826973)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1962618420:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (3826974)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1829621899:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (3826975)dis+10_1_sil=32000:sp=arity:random_seed=1457295985:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (3826977)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2806603870:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (3826978)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3474795966:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (3826976) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3826967-3826976"...
% 0.16/0.47 % (3826976)...printing done.
% 0.16/0.47 % (3826976)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3826976)------------------------------
% 0.16/0.47 % (3826976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3826976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3826976)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3826976)Termination reason: Refutation
% 0.16/0.47 % (3826976)Time elapsed: 0.013 s
% 0.16/0.47 % (3826976)Peak memory usage: 12 MB
% 0.16/0.47 % (3826976)Instructions burned: 47 (million)
% 0.16/0.47 % (3826967)Success in time 0.059 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------