%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC102-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:02:27 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 14 unt; 2 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 8 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 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(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk4 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
sk3 = sk4,
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,plain,
sk1 = sk4,
inference(definition_unfolding,[],[f205,f207]) ).
fof(f214,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f215,plain,
( ~ neq(sk4,nil)
| ~ frontsegP(sk4,sk4) ),
inference(definition_unfolding,[],[f209,f210,f204,f210]) ).
fof(f225,definition,
( spl0_1
<=> frontsegP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f227,plain,
( ~ frontsegP(sk4,sk4)
| spl0_1 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl0_2
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f232,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f215,f229,f225]) ).
fof(f233,plain,
spl0_2,
inference(avatar_split_clause,[],[f214,f229]) ).
fof(f234,plain,
( ~ ssList(sk4)
| spl0_1 ),
inference(resolution,[],[f61,f227]) ).
fof(f235,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f234,f203]) ).
fof(f236,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f235]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f232]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f233]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f236]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f237,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC102-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:52:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.40 % (2873021)Input is clausal, will run a generic CNF schedule.
% 0.19/1.40 % (2873028)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2173499864:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.40 % (2873026)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=3726482756:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.40 % (2873027)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1963918774:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.40 % (2873029)lrs+10_1_sil=8000:sp=occurrence:random_seed=2725664513:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.40 % (2873029)First to succeed.
% 0.19/1.40 % (2873029)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2873021"
% 0.19/1.40 % (2873031)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=42040735:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.40 % (2873030)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2404934139:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.40 % (2873032)dis-21_1_sil=8000:lcm=predicate:random_seed=3363661623: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)
% 0.19/1.40 % (2873030)Also succeeded, but the first one will report.
% 0.19/1.40 % (2873032)Also succeeded, but the first one will report.
% 0.19/1.40 % (2873031)Also succeeded, but the first one will report.
% 0.19/1.40 % (2873029)Refutation found. Thanks to Tanya!
% 0.19/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.40 % (2873029)------------------------------
% 0.19/1.40 % (2873029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.40 % (2873029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.40 % (2873029)CaDiCaL version: 2.1.3
% 0.19/1.40 % (2873029)Termination reason: Refutation
% 0.19/1.40 % (2873029)Time elapsed: 0.003 s
% 0.19/1.40 % (2873029)Peak memory usage: 90 MB
% 0.19/1.40 % (2873029)Instructions burned: 2 (million)
% 0.19/1.40 % (2873029)------------------------------
% 0.19/1.40 % (2873029)------------------------------
% 0.19/1.40 % (2873021)Success in time 0.43 s
% 0.19/1.40 % Vampire exiting
%------------------------------------------------------------------------------