%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n014.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 01:07:52 PM UTC 2026
% Result : Unsatisfiable 2.56s 1.00s
% Output : Refutation 2.56s
% 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
% 0.00/0.03 % Problem : SWV005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n014.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 09:41:46 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/1.00 % (1669112)Input is clausal, will run a generic CNF schedule.
% 2.56/1.00 % (1669122)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4066839847:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.00 % (1669122)First to succeed.
% 2.56/1.00 % (1669122)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1669112"
% 2.56/1.00 % (1669121)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3932342015:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.00 % (1669118)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=961922025:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.00 % (1669120)lrs+10_1_sil=8000:sp=occurrence:random_seed=957428519:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.00 % (1669119)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2203990790:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.00 % (1669117)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3672977162:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.00 % (1669121)Also succeeded, but the first one will report.
% 2.56/1.00 % (1669120)Also succeeded, but the first one will report.
% 2.56/1.00 % (1669123)dis-21_1_sil=8000:lcm=predicate:random_seed=742164274:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.56/1.00 % (1669123)Also succeeded, but the first one will report.
% 2.56/1.00 % (1669122)Refutation found. Thanks to Tanya!
% 2.56/1.00 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.00 % (1669122)------------------------------
% 2.56/1.00 % (1669122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.00 % (1669122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.00 % (1669122)CaDiCaL version: 2.1.3
% 2.56/1.00 % (1669122)Termination reason: Refutation
% 2.56/1.00 % (1669122)Time elapsed: 0.001 s
% 2.56/1.00 % (1669122)Peak memory usage: 89 MB
% 2.56/1.00 % (1669122)Instructions burned: 1 (million)
% 2.56/1.00 % (1669122)------------------------------
% 2.56/1.00 % (1669122)------------------------------
% 2.56/1.00 % (1669112)Success in time 0.307 s
% 2.56/1.00 % Vampire exiting
%------------------------------------------------------------------------------