%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC059-1 : 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 : n012.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 01:04:29 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 9 unt; 6 def)
% Number of atoms : 125 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 148 ( 74 ~; 68 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
( nil = sk4
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f209,f204,f204]) ).
fof(f216,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f210,f204,f204,f205]) ).
fof(f217,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f218,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f212,f205,f204,f205]) ).
fof(f250,definition,
( spl0_1
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f251,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f256,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f218,f253,f250]) ).
fof(f258,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f261,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f217,f253,f258]) ).
fof(f263,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f266,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f216,f263,f250]) ).
fof(f267,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f215,f263,f258]) ).
fof(f269,definition,
( spl0_5
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f271,plain,
( segmentP(sk4,sk3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f208,f258,f269]) ).
fof(f274,definition,
( spl0_6
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f276,plain,
( neq(sk3,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f207,f258,f274]) ).
fof(f278,plain,
( ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f206,f253,f263]) ).
fof(f341,plain,
( ~ segmentP(sk3,sk3)
| ~ segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_6 ),
inference(resolution,[],[f251,f276]) ).
fof(f342,plain,
( ~ segmentP(sk3,sk3)
| ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f341,f271]) ).
fof(f344,plain,
( ~ segmentP(sk3,sk3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f342,f202]) ).
fof(f352,plain,
( ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f57,f344]) ).
fof(f353,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f352,f202]) ).
fof(f354,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f353]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f256]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f261]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f266]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f267]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f272]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f277]) ).
cnf(s7,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f278]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f354]) ).
cnf(s30,plain,
spl0_1,
inference(rat,[],[s7,s1,s3]) ).
cnf(s31,plain,
~ spl0_3,
inference(rat,[],[s22,s5,s6,s30]) ).
cnf(s32,plain,
spl0_4,
inference(rat,[],[s4,s31]) ).
cnf(s33,plain,
~ spl0_2,
inference(rat,[],[s2,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s7,s32,s33]) ).
fof(f357,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC059-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Mon Sep 28 07:39:19 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.07/0.37 % (3218798)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (3218804)% WARNING: option uhcvi not known.
% 0.07/0.37 % (3218806)dis+10_1_sil=32000:sp=arity:random_seed=507091629:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (3218803)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=260713710_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (3218804)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4226633249:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (3218805)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3096534631:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (3218807)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=243345982:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (3218808)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2669957916:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (3218809)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=697097955:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % (3218806) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3218798-3218806"...
% 0.07/0.37 % (3218804) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3218798-3218804"...
% 0.07/0.37 % (3218806)...printing done.
% 0.07/0.37 % (3218804)...printing done.
% 0.07/0.37 % (3218805) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3218798-3218805"...
% 0.07/0.37 % (3218806)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (3218806)------------------------------
% 0.07/0.37 % (3218806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (3218806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (3218806)CaDiCaL version: 2.1.3
% 0.07/0.37 % (3218806)Termination reason: Refutation
% 0.07/0.37 % (3218806)Time elapsed: 0.003 s
% 0.07/0.37 % (3218806)Peak memory usage: 12 MB
% 0.07/0.37 % (3218806)Instructions burned: 6 (million)
% 0.07/0.37 % (3218798)Success in time 0.032 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------