%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC016-1 : 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 : n020.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 01:04:18 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 58 ( 8 unt; 8 def)
% Number of atoms : 145 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 171 ( 84 ~; 79 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( nil = sk4
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f204,f204]) ).
fof(f218,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(definition_unfolding,[],[f212,f204,f204,f205]) ).
fof(f219,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f213,f205,f204]) ).
fof(f220,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
fof(f252,definition,
( spl0_1
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f253,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f258,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f220,f255,f252]) ).
fof(f260,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f263,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f219,f255,f260]) ).
fof(f265,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f268,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f218,f265,f252]) ).
fof(f269,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f217,f265,f260]) ).
fof(f271,definition,
( spl0_5
<=> frontsegP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f273,plain,
( frontsegP(sk3,sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f210,f271,f260]) ).
fof(f276,definition,
( spl0_6
<=> frontsegP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f278,plain,
( frontsegP(sk4,sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f209,f276,f260]) ).
fof(f281,definition,
( spl0_7
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f283,plain,
( neq(sk5,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f208,f281,f260]) ).
fof(f286,definition,
( spl0_8
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f288,plain,
( ssList(sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,plain,
( ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f207,f286,f260]) ).
fof(f290,plain,
( ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f206,f255,f265]) ).
fof(f336,plain,
( ~ frontsegP(sk3,sk5)
| ~ frontsegP(sk4,sk5)
| ~ ssList(sk5)
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f253,f283]) ).
fof(f337,plain,
( ~ frontsegP(sk3,sk5)
| ~ ssList(sk5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f336,f278]) ).
fof(f339,plain,
( ~ frontsegP(sk3,sk5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f337,f288]) ).
fof(f345,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f339,f273]) ).
fof(f346,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f345]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f263]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f268]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f269]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f274]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f279]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f284]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f289]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f290]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f346]) ).
cnf(s26,plain,
spl0_1,
inference(rat,[],[s9,s1,s3]) ).
cnf(s27,plain,
~ spl0_3,
inference(rat,[],[s21,s5,s6,s7,s8,s26]) ).
cnf(s28,plain,
spl0_4,
inference(rat,[],[s4,s27]) ).
cnf(s29,plain,
~ spl0_2,
inference(rat,[],[s2,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s9,s28,s29]) ).
fof(f347,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC016-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 % Computer : n020.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8046.5625MB
% 0.13/0.43 % OS : Linux 6.8.0-71-generic
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Mon Sep 28 07:27:35 UTC 2026
% 0.13/0.43 % CPUTime :
% 0.13/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.46 Running first-order model finding
% 0.17/0.46 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
% 0.17/0.51 % (17812)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (17821)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2160387782:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (17818)% WARNING: option uhcvi not known.
% 0.17/0.51 % (17821) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-17812-17821"...
% 0.17/0.51 % (17821)...printing done.
% 0.17/0.51 % (17821)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (17821)------------------------------
% 0.17/0.51 % (17821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51 % (17821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51 % (17821)CaDiCaL version: 2.1.3
% 0.17/0.51 % (17821)Termination reason: Refutation
% 0.17/0.51 % (17821)Time elapsed: 0.004 s
% 0.17/0.51 % (17821)Peak memory usage: 12 MB
% 0.17/0.51 % (17821)Instructions burned: 12 (million)
% 0.17/0.51 % (17812)Success in time 0.033 s
% 0.17/0.51 % Vampire exiting
%------------------------------------------------------------------------------