%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC121-1 : 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 : n007.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 01:04:45 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.53s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 9 unt; 3 def)
% Number of atoms : 48 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 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)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f211,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f221,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f213,f205,f204,f205]) ).
fof(f358,plain,
( ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f359,plain,
( ~ neq(sk3,nil)
| segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f360,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f368,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f372,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f376,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f379,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f359,f376,f372,f368]) ).
fof(f380,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f358,f372,f368]) ).
fof(f381,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f211,f376,f368]) ).
fof(f385,plain,
spl0_1,
inference(avatar_split_clause,[],[f360,f368]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f379]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f380]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f381]) ).
cnf(s7,plain,
spl0_1,
inference(sat_conversion,[],[f385]) ).
cnf(s22,plain,
spl0_3,
inference(rat,[],[s3,s7]) ).
cnf(s23,plain,
~ spl0_2,
inference(rat,[],[s2,s7]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s22,s23,s7]) ).
fof(f428,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC121-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.43 % Computer : n007.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 28 07:57:40 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 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
% 0.23/0.53 % (2232850)Will run a generic schedule for satisfiability detection.
% 0.23/0.53 % (2232856)% WARNING: option uhcvi not known.
% 0.23/0.53 % (2232856)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1015223546:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.53 % (2232856) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2232850-2232856"...
% 0.23/0.53 % (2232856)...printing done.
% 0.23/0.53 % (2232856)Refutation found. Thanks to Tanya!
% 0.23/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.53 % (2232856)------------------------------
% 0.23/0.53 % (2232856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.53 % (2232856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.53 % (2232856)CaDiCaL version: 2.1.3
% 0.23/0.53 % (2232856)Termination reason: Refutation
% 0.23/0.53 % (2232856)Time elapsed: 0.003 s
% 0.23/0.53 % (2232856)Peak memory usage: 12 MB
% 0.23/0.53 % (2232856)Instructions burned: 4 (million)
% 0.23/0.53 % (2232850)Success in time 0.033 s
% 0.23/0.53 % Vampire exiting
%------------------------------------------------------------------------------