%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC358-1 : 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 : n004.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 01:03:37 PM UTC 2026
% Result : Unsatisfiable 3.62s 1.19s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 13 unt; 5 def)
% Number of atoms : 80 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 34 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
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(f207,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( nil = sk4
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
( nil = sk3
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f215,plain,
~ segmentP(sk4,sk3),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f220,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f224,definition,
( spl0_1
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f225,plain,
( segmentP(nil,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f228,plain,
( ~ ssList(nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f220,f227,f224]) ).
fof(f235,definition,
( spl0_4
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f236,plain,
( segmentP(sk4,sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f239,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f211,f238,f235]) ).
fof(f246,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f247,plain,
( nil = sk4
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f209,f246,f235]) ).
fof(f250,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f236,f215]) ).
fof(f251,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f253,plain,
( ssList(nil)
| ~ spl0_5 ),
inference(superposition,[],[f202,f239]) ).
fof(f255,plain,
( ~ segmentP(nil,sk3)
| ~ spl0_7 ),
inference(superposition,[],[f215,f247]) ).
fof(f259,plain,
( $false
| spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f228,f253]) ).
fof(f260,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f261,plain,
( ~ segmentP(nil,nil)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f255,f239]) ).
fof(f262,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f261,f225]) ).
fof(f263,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f262]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f229]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f240]) ).
cnf(s5,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f248]) ).
cnf(s7,plain,
~ spl0_4,
inference(sat_conversion,[],[f251]) ).
cnf(s8,plain,
( spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f260]) ).
cnf(s9,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f263]) ).
cnf(s10,plain,
spl0_7,
inference(rat,[],[s5,s7]) ).
cnf(s11,plain,
spl0_5,
inference(rat,[],[s3,s7]) ).
cnf(s12,plain,
~ spl0_1,
inference(rat,[],[s9,s10,s11]) ).
cnf(s13,plain,
spl0_2,
inference(rat,[],[s8,s11]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s13,s12]) ).
fof(f264,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC358-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:16:22 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.62/1.19 % (224461)Input is clausal, will run a generic CNF schedule.
% 3.62/1.19 % (224468)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3231171429:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.62/1.19 % (224466)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=53918972:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.62/1.19 % (224469)lrs+10_1_sil=8000:sp=occurrence:random_seed=3243229227:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.62/1.19 % (224470)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=816027730:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.62/1.19 % (224471)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2588139382:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.62/1.19 % (224472)dis-21_1_sil=8000:lcm=predicate:random_seed=3586785571: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)
% 3.62/1.19 % (224467)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=724306552:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.62/1.19 % (224469)Also succeeded, but the first one will report.
% 3.62/1.19 % (224470)First to succeed.
% 3.62/1.19 % (224470)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-224461"
% 3.62/1.19 % (224471)Also succeeded, but the first one will report.
% 3.62/1.19 % (224472)Instruction limit reached!
% 3.62/1.19 % (224472)------------------------------
% 3.62/1.19 % (224472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.19 % (224472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.19 % (224472)CaDiCaL version: 2.1.3
% 3.62/1.19 % (224472)Termination reason: Instruction limit
% 3.62/1.19 % (224472)Termination phase: Saturation
% 3.62/1.19 % (224472)Time elapsed: 0.049 s
% 3.62/1.19 % (224472)Peak memory usage: 88 MB
% 3.62/1.19 % (224472)Instructions burned: 118 (million)
% 3.62/1.19 % (224480)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=536513294:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.62/1.19 % (224480)Also succeeded, but the first one will report.
% 3.62/1.19 % (224470)Refutation found. Thanks to Tanya!
% 3.62/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.62/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.19 % (224470)------------------------------
% 3.62/1.19 % (224470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.19 % (224470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.19 % (224470)CaDiCaL version: 2.1.3
% 3.62/1.19 % (224470)Termination reason: Refutation
% 3.62/1.19 % (224470)Time elapsed: 0.003 s
% 3.62/1.19 % (224470)Peak memory usage: 89 MB
% 3.62/1.19 % (224470)Instructions burned: 2 (million)
% 3.62/1.19 % (224470)------------------------------
% 3.62/1.19 % (224470)------------------------------
% 3.62/1.19 % (224461)Success in time 0.445 s
% 3.62/1.19 % Vampire exiting
%------------------------------------------------------------------------------