%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 01:19:57 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.33s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 2 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,negated_conjecture,
~ less_than(n,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f16,negated_conjecture,
~ less_than(k,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f19,negated_conjecture,
less_than(one,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f20,negated_conjecture,
less_than(a(k),a(predecessor(l))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f22,negated_conjecture,
! [X0] :
( less_than(X0,l)
| less_than(n,X0)
| ~ less_than(one,l)
| ~ less_than(a(X0),a(predecessor(l))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f27,definition,
( spl0_1
<=> less_than(one,l) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f31,definition,
( spl0_2
<=> ! [X0] :
( less_than(X0,l)
| ~ less_than(a(X0),a(predecessor(l)))
| less_than(n,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f32,plain,
( ! [X0] :
( ~ less_than(a(X0),a(predecessor(l)))
| less_than(X0,l)
| less_than(n,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f33,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f31,f27]) ).
fof(f34,plain,
spl0_1,
inference(avatar_split_clause,[],[f19,f27]) ).
fof(f35,plain,
( less_than(k,l)
| less_than(n,k)
| ~ spl0_2 ),
inference(resolution,[],[f32,f20]) ).
fof(f36,plain,
( less_than(n,k)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f35,f16]) ).
fof(f37,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f36,f15]) ).
fof(f38,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f37]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f34]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f38]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f39,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n010.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 09:42:17 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 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
% 0.24/0.33 % (1809811)Will run a generic schedule for satisfiability detection.
% 0.24/0.33 % (1809817)% WARNING: option uhcvi not known.
% 0.24/0.33 % (1809816)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3032892329_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.33 % TRYING [1]
% 0.24/0.33 % TRYING [2]
% 0.24/0.33 % TRYING [3]
% 0.24/0.33 % TRYING [4]
% 0.24/0.33 % TRYING [5]
% 0.24/0.33 % (1809817)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3184711699:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.33 % (1809819)dis+10_1_sil=32000:sp=arity:random_seed=4181153756:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.33 % TRYING [6]
% 0.24/0.33 % (1809819) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1809811-1809819"...
% 0.24/0.33 % (1809817) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1809811-1809817"...
% 0.24/0.33 % (1809818)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1850648636:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.33 % TRYING [7]
% 0.24/0.33 % (1809821)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2463167020:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.33 % (1809819)...printing done.
% 0.24/0.33 % (1809817)...printing done.
% 0.24/0.33 % (1809820)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2449999977:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.33 % (1809819)Refutation found. Thanks to Tanya!
% 0.24/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.33 % (1809819)------------------------------
% 0.24/0.33 % (1809819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (1809819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (1809819)CaDiCaL version: 2.1.3
% 0.24/0.33 % (1809819)Termination reason: Refutation
% 0.24/0.33 % (1809819)Time elapsed: 0.002 s
% 0.24/0.33 % (1809819)Peak memory usage: 12 MB
% 0.24/0.33 % (1809819)Instructions burned: 1 (million)
% 0.24/0.33 % (1809811)Success in time 0.026 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------