%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 01:02:03 PM UTC 2026
% Result : Unsatisfiable 3.51s 1.39s
% Output : Refutation 3.51s
% 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(f240,definition,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f241,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f245,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f220,f243,f240]) ).
fof(f247,definition,
( spl0_6
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f249,plain,
( spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f219,f243,f247]) ).
fof(f251,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f253,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f218,f251,f240]) ).
fof(f254,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f217,f251,f247]) ).
fof(f257,definition,
( spl0_8
<=> frontsegP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f258,plain,
( frontsegP(sk3,sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( ~ spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f210,f257,f247]) ).
fof(f261,definition,
( spl0_9
<=> frontsegP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f262,plain,
( frontsegP(sk4,sk5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f209,f261,f247]) ).
fof(f265,definition,
( spl0_10
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f266,plain,
( neq(sk5,nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f208,f265,f247]) ).
fof(f269,definition,
( spl0_11
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f270,plain,
( ssList(sk5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f207,f269,f247]) ).
fof(f274,plain,
( ~ spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f206,f243,f251]) ).
fof(f278,plain,
( ~ frontsegP(sk3,sk5)
| ~ frontsegP(sk4,sk5)
| ~ ssList(sk5)
| ~ spl0_4
| ~ spl0_10 ),
inference(resolution,[],[f241,f266]) ).
fof(f279,plain,
( ~ frontsegP(sk4,sk5)
| ~ ssList(sk5)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f278,f258]) ).
fof(f281,plain,
( ~ ssList(sk5)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f279,f262]) ).
fof(f289,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f281,f270]) ).
fof(f290,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f289]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f245]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f249]) ).
cnf(s5,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f253]) ).
cnf(s6,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f254]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f259]) ).
cnf(s8,plain,
( ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f263]) ).
cnf(s9,plain,
( ~ spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f267]) ).
cnf(s10,plain,
( ~ spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f271]) ).
cnf(s11,plain,
( spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f274]) ).
cnf(s13,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f290]) ).
cnf(s14,plain,
spl0_4,
inference(rat,[],[s11,s3,s5]) ).
cnf(s15,plain,
~ spl0_6,
inference(rat,[],[s13,s7,s8,s9,s10,s14]) ).
cnf(s16,plain,
spl0_7,
inference(rat,[],[s6,s15]) ).
cnf(s17,plain,
~ spl0_5,
inference(rat,[],[s4,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s11,s16,s17]) ).
fof(f291,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC016-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 07:27:20 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.51/1.39 % (17391)Input is clausal, will run a generic CNF schedule.
% 3.51/1.39 % (17397)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3164087706:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.39 % (17398)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3768406306:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.39 % (17400)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3636679659:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.39 % (17399)lrs+10_1_sil=8000:sp=occurrence:random_seed=3353541930:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.39 % (17396)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=147118317:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.39 % (17400)First to succeed.
% 3.51/1.39 % (17399)Also succeeded, but the first one will report.
% 3.51/1.39 % (17400)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17391"
% 3.51/1.39 % (17401)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1553227563:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.39 % (17402)dis-21_1_sil=8000:lcm=predicate:random_seed=2096411028:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.51/1.39 % (17402)Also succeeded, but the first one will report.
% 3.51/1.39 % (17401)Also succeeded, but the first one will report.
% 3.51/1.39 % (17400)Refutation found. Thanks to Tanya!
% 3.51/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.39 % (17400)------------------------------
% 3.51/1.39 % (17400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.39 % (17400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.39 % (17400)CaDiCaL version: 2.1.3
% 3.51/1.39 % (17400)Termination reason: Refutation
% 3.51/1.39 % (17400)Time elapsed: 0.004 s
% 3.51/1.39 % (17400)Peak memory usage: 89 MB
% 3.51/1.39 % (17400)Instructions burned: 3 (million)
% 3.51/1.39 % (17400)------------------------------
% 3.51/1.39 % (17400)------------------------------
% 3.51/1.39 % (17391)Success in time 0.436 s
% 3.51/1.39 % Vampire exiting
%------------------------------------------------------------------------------