%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC381-1 : 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 : n006.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 01:05:48 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 11 unt; 5 def)
% Number of atoms : 90 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 51 ~; 44 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 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(f213,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) != sk1
| ~ memberP(sk2,X0)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f216,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f220,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f226,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) != sk3
| ~ memberP(sk4,X0)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f213,f205,f204]) ).
fof(f251,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f259,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f263,definition,
( spl0_2
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f265,plain,
( memberP(sk4,sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f217,f263,f259]) ).
fof(f268,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f270,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f216,f268,f259]) ).
fof(f273,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f275,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f214,f273,f259]) ).
fof(f278,definition,
( spl0_5
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| cons(X0,nil) != sk3 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f279,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| cons(X0,nil) != sk3 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f280,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f226,f278,f259]) ).
fof(f285,plain,
spl0_1,
inference(avatar_split_clause,[],[f251,f259]) ).
fof(f328,plain,
( ~ ssItem(sk5)
| sk3 != cons(sk5,nil)
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f279,f265]) ).
fof(f329,plain,
( sk3 != cons(sk5,nil)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f328,f275]) ).
fof(f330,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f329,f270]) ).
fof(f331,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f330]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f266]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f271]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f276]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f280]) ).
cnf(s9,plain,
spl0_1,
inference(sat_conversion,[],[f285]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f331]) ).
cnf(s25,plain,
spl0_5,
inference(rat,[],[s4,s9]) ).
cnf(s26,plain,
spl0_4,
inference(rat,[],[s3,s9]) ).
cnf(s27,plain,
spl0_3,
inference(rat,[],[s2,s9]) ).
cnf(s28,plain,
~ spl0_2,
inference(rat,[],[s20,s25,s26,s27]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s28,s9]) ).
fof(f332,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC381-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:22:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.28 % (3835796)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3835805)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2218837943:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3835802)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3835805) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3835796-3835805"...
% 0.20/0.28 % (3835805)...printing done.
% 0.20/0.28 % (3835805)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3835805)------------------------------
% 0.20/0.28 % (3835805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3835805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3835805)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3835805)Termination reason: Refutation
% 0.20/0.28 % (3835805)Time elapsed: 0.004 s
% 0.20/0.28 % (3835805)Peak memory usage: 12 MB
% 0.20/0.28 % (3835805)Instructions burned: 11 (million)
% 0.20/0.28 % (3835796)Success in time 0.042 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------