%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC367-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:05:44 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 12 unt; 3 def)
% Number of atoms : 57 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 21 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ rearsegP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( nil = sk4
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( nil = sk3
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
~ rearsegP(sk4,sk3),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f215,definition,
( spl0_1
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f216,plain,
( ~ rearsegP(sk4,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f219,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f221,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f210,f219,f215]) ).
fof(f229,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f231,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f229,f215]) ).
fof(f234,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f213,f215]) ).
fof(f242,plain,
( ~ rearsegP(sk4,nil)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f216,f221]) ).
fof(f244,plain,
( ~ rearsegP(nil,nil)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f242,f231]) ).
fof(f358,plain,
rearsegP(sk3,nil),
inference(resolution,[],[f58,f202]) ).
fof(f361,plain,
( rearsegP(nil,nil)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f358,f221]) ).
fof(f366,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f361,f244]) ).
fof(f367,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f366]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f222]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f232]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f234]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f367]) ).
cnf(s10,plain,
spl0_4,
inference(rat,[],[s3,s5]) ).
cnf(s11,plain,
~ spl0_2,
inference(rat,[],[s9,s5,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s11,s5]) ).
fof(f368,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC367-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n009.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 09:20:21 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.25 % (2908808)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2908818)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1542602214:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % (2908818) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2908808-2908818"...
% 0.08/0.25 % (2908818)...printing done.
% 0.08/0.25 % (2908814)% WARNING: option uhcvi not known.
% 0.08/0.25 % (2908818)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (2908818)------------------------------
% 0.08/0.25 % (2908818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2908818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2908818)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2908818)Termination reason: Refutation
% 0.08/0.25 % (2908818)Time elapsed: 0.004 s
% 0.08/0.25 % (2908818)Peak memory usage: 12 MB
% 0.08/0.25 % (2908818)Instructions burned: 10 (million)
% 0.08/0.25 % (2908808)Success in time 0.036 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------