%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC082-1 : 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 : n002.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 01:04:35 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.52s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 35 ( 12 unt; 5 def)
% Number of atoms : 68 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 34 ~; 28 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( segmentP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f216,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f352,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f356,definition,
( spl0_2
<=> segmentP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f359,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f212,f356,f352]) ).
fof(f361,definition,
( spl0_3
<=> segmentP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f364,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f211,f361,f352]) ).
fof(f366,definition,
( spl0_4
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f368,plain,
( neq(sk5,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f369,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f366,f352]) ).
fof(f371,definition,
( spl0_5
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f374,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f209,f371,f352]) ).
fof(f384,plain,
spl0_1,
inference(avatar_split_clause,[],[f215,f352]) ).
fof(f428,plain,
( ~ ssList(sk5)
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5)
| ~ spl0_4 ),
inference(resolution,[],[f216,f368]) ).
fof(f429,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f428,f366,f371,f361,f356]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f359]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f364]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f369]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f374]) ).
cnf(s6,plain,
spl0_1,
inference(sat_conversion,[],[f384]) ).
cnf(s17,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f429]) ).
cnf(s23,plain,
spl0_5,
inference(rat,[],[s4,s6]) ).
cnf(s24,plain,
spl0_4,
inference(rat,[],[s3,s6]) ).
cnf(s25,plain,
spl0_3,
inference(rat,[],[s2,s6]) ).
cnf(s26,plain,
~ spl0_2,
inference(rat,[],[s17,s23,s24,s25]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s26,s6]) ).
fof(f443,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n002.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 28 07:48:22 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.48 Running first-order model finding
% 0.16/0.48 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
% 0.24/0.52 % (194909)Will run a generic schedule for satisfiability detection.
% 0.24/0.52 % (194920)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=606067656:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.52 % (194920) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-194909-194920"...
% 0.24/0.52 % (194920)...printing done.
% 0.24/0.52 % (194915)% WARNING: option uhcvi not known.
% 0.24/0.52 % (194920)Refutation found. Thanks to Tanya!
% 0.24/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.52 % (194920)------------------------------
% 0.24/0.52 % (194920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.52 % (194920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.52 % (194920)CaDiCaL version: 2.1.3
% 0.24/0.52 % (194920)Termination reason: Refutation
% 0.24/0.52 % (194920)Time elapsed: 0.006 s
% 0.24/0.52 % (194920)Peak memory usage: 13 MB
% 0.24/0.52 % (194920)Instructions burned: 9 (million)
% 0.24/0.52 % (194909)Success in time 0.032 s
% 0.24/0.52 % Vampire exiting
%------------------------------------------------------------------------------