%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC001-1 : 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 : n026.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 01:04:14 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 10 unt; 4 def)
% Number of atoms : 102 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 51 ~; 53 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
duplicatefreeP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk4,X0)
| ~ memberP(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ~ memberP(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( memberP(sk2,sk5)
| memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( ssItem(sk5)
| ~ duplicatefreeP(sk3) ),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f215,plain,
( memberP(sk4,sk5)
| memberP(sk3,sk5)
| ~ duplicatefreeP(sk3) ),
inference(definition_unfolding,[],[f210,f204,f205,f205]) ).
fof(f216,plain,
( ~ memberP(sk4,sk5)
| ~ memberP(sk3,sk5)
| ~ duplicatefreeP(sk3) ),
inference(definition_unfolding,[],[f211,f204,f205,f205]) ).
fof(f218,definition,
( spl0_1
<=> duplicatefreeP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f222,definition,
( spl0_2
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f223,plain,
( memberP(sk3,sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( ~ memberP(sk3,sk5)
| spl0_2 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_3
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f227,plain,
( memberP(sk4,sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( ~ memberP(sk4,sk5)
| spl0_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f216,f226,f222,f218]) ).
fof(f230,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f215,f226,f222,f218]) ).
fof(f232,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f234,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f214,f232,f218]) ).
fof(f236,plain,
spl0_1,
inference(avatar_split_clause,[],[f206,f218]) ).
fof(f244,plain,
( memberP(sk4,sk5)
| ~ memberP(sk3,sk5)
| ~ spl0_4 ),
inference(resolution,[],[f207,f234]) ).
fof(f245,plain,
( memberP(sk3,sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_4 ),
inference(resolution,[],[f208,f234]) ).
fof(f246,plain,
( ~ memberP(sk4,sk5)
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f245,f224]) ).
fof(f247,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f246,f227]) ).
fof(f248,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f249,plain,
( ~ memberP(sk3,sk5)
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f244,f228]) ).
fof(f250,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f249,f223]) ).
fof(f251,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f250]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f229]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f230]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f235]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f236]) ).
cnf(s6,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f248]) ).
cnf(s7,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f251]) ).
cnf(s8,plain,
spl0_4,
inference(rat,[],[s3,s4]) ).
cnf(s9,plain,
( spl0_2
| spl0_3 ),
inference(rat,[],[s2,s4]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s1,s4]) ).
cnf(s11,plain,
spl0_2,
inference(rat,[],[s9,s6,s8]) ).
cnf(s12,plain,
spl0_3,
inference(rat,[],[s7,s8,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s10,s12,s11]) ).
fof(f252,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 07:26:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (3674896)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3674906)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=910646301:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3674906) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3674896-3674906"...
% 0.11/0.45 % (3674906)...printing done.
% 0.11/0.45 % (3674906)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3674906)------------------------------
% 0.11/0.45 % (3674906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3674906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3674906)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3674906)Termination reason: Refutation
% 0.11/0.45 % (3674906)Time elapsed: 0.003 s
% 0.11/0.45 % (3674906)Peak memory usage: 12 MB
% 0.11/0.45 % (3674906)Instructions burned: 8 (million)
% 0.11/0.45 % (3674896)Success in time 0.038 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------