%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM300+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 : n020.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 12:18:16 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 14 unt; 2 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 23 ~; 13 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
fof(f129,axiom,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn1) ).
fof(f282,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_neg(X2))
& rdn_translate(X1,rdn_pos(X3)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_pos) ).
fof(f402,conjecture,
? [X0] : less(X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_n0) ).
fof(f403,negated_conjecture,
~ ? [X0] : less(X0,n0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f282]) ).
fof(f416,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(flattening,[],[f415]) ).
fof(f450,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f403]) ).
fof(f451,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f1]) ).
fof(f579,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(cnf_transformation,[],[f129]) ).
fof(f732,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f416]) ).
fof(f855,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f450]) ).
fof(f871,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(n0,rdn_pos(X2)) ),
inference(resolution,[],[f732,f855]) ).
fof(f876,definition,
( spl0_1
<=> ! [X2] : ~ rdn_translate(n0,rdn_pos(X2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f877,plain,
( ! [X2] : ~ rdn_translate(n0,rdn_pos(X2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f879,definition,
( spl0_2
<=> ! [X0,X1] : ~ rdn_translate(X0,rdn_neg(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f880,plain,
( ! [X0,X1] : ~ rdn_translate(X0,rdn_neg(X1))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f881,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f871,f879,f876]) ).
fof(f882,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f880,f579]) ).
fof(f1137,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f1138,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f877,f451]) ).
fof(f1139,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1138]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f881]) ).
cnf(s129,plain,
~ spl0_2,
inference(sat_conversion,[],[f1137]) ).
cnf(s130,plain,
~ spl0_1,
inference(sat_conversion,[],[f1139]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s1,s129,s130]) ).
fof(f1140,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM300+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n020.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 19:30:27 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.48 % (3697548)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3697557)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1339290057:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3697554)% WARNING: option uhcvi not known.
% 0.17/0.48 % (3697553)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=173324147_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (3697554)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4289548105:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3697556)dis+10_1_sil=32000:sp=arity:random_seed=52882081:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3697555)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=89488536:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3697558)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=839817686:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3697559)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2953540852:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (3697557) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3697548-3697557"...
% 0.17/0.48 % (3697557)...printing done.
% 0.17/0.48 % (3697557)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3697557)------------------------------
% 0.17/0.48 % (3697557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3697557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3697557)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3697557)Termination reason: Refutation
% 0.17/0.48 % (3697557)Time elapsed: 0.012 s
% 0.17/0.48 % (3697557)Peak memory usage: 13 MB
% 0.17/0.48 % (3697557)Instructions burned: 42 (million)
% 0.17/0.48 % (3697548)Success in time 0.055 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------