%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC054-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:04:28 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 55 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 66 ( 35 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( segmentP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( nil = sk4
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f204,f204]) ).
fof(f218,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f212,f204,f204,f205]) ).
fof(f219,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f213,f205,f204]) ).
fof(f220,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
fof(f251,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(global_subsumption,[],[f220,f206,f218]) ).
fof(f293,plain,
segmentP(sk3,sk5),
inference(global_subsumption,[],[f210,f206,f217,f219]) ).
fof(f294,plain,
segmentP(sk4,sk5),
inference(global_subsumption,[],[f209,f206,f217,f219]) ).
fof(f314,plain,
ssList(sk5),
inference(global_subsumption,[],[f207,f217,f206,f219]) ).
fof(f315,plain,
neq(sk5,nil),
inference(global_subsumption,[],[f208,f217,f206,f219]) ).
fof(f333,plain,
( ~ ssList(sk5)
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(resolution,[],[f315,f251]) ).
fof(f334,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(forward_subsumption_resolution,[],[f333,f314]) ).
fof(f335,plain,
~ segmentP(sk3,sk5),
inference(forward_subsumption_resolution,[],[f334,f294]) ).
fof(f336,plain,
$false,
inference(forward_subsumption_resolution,[],[f335,f293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:33:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 0.15/0.45 % (3378260)Will run a generic schedule for satisfiability detection.
% 0.15/0.45 % (3378267)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=656576748:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.45 % (3378266)% WARNING: option uhcvi not known.
% 0.15/0.45 % (3378267) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3378260-3378267"...
% 0.15/0.45 % (3378267)...printing done.
% 0.15/0.45 % (3378267)Refutation found. Thanks to Tanya!
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45 % (3378267)------------------------------
% 0.15/0.45 % (3378267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.45 % (3378267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.45 % (3378267)CaDiCaL version: 2.1.3
% 0.15/0.45 % (3378267)Termination reason: Refutation
% 0.15/0.45 % (3378267)Time elapsed: 0.005 s
% 0.15/0.45 % (3378267)Peak memory usage: 12 MB
% 0.15/0.45 % (3378267)Instructions burned: 13 (million)
% 0.15/0.45 % (3378260)Success in time 0.033 s
% 0.15/0.45 % Vampire exiting
%------------------------------------------------------------------------------