%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC121+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 : n003.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 01:02:32 PM UTC 2026
% Result : Theorem 0.23s 1.61s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 3 def)
% Number of atoms : 108 ( 12 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 119 ( 40 ~; 34 |; 34 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ~ neq(X2,nil)
| ~ segmentP(X3,X2)
| ( neq(X0,nil)
& segmentP(X1,X0) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ~ neq(X2,nil)
| ~ segmentP(X3,X2)
| ( neq(X0,nil)
& segmentP(X1,X0) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& neq(X2,nil)
& segmentP(X3,X2)
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& neq(X2,nil)
& segmentP(X3,X2)
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f215,plain,
( sK7 = sK9
& sK6 = sK8
& ( ( neq(sK7,nil)
& neq(sK8,nil)
& segmentP(sK9,sK8)
& ( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6) ) )
| ( neq(sK7,nil)
& ~ neq(sK9,nil) ) )
& ssList(sK9)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9)],[f99]) ).
fof(f268,plain,
( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6)
| ~ neq(sK9,nil) ),
inference(cnf_transformation,[],[f215]) ).
fof(f270,plain,
( segmentP(sK9,sK8)
| ~ neq(sK9,nil) ),
inference(cnf_transformation,[],[f215]) ).
fof(f272,plain,
( neq(sK8,nil)
| ~ neq(sK9,nil) ),
inference(cnf_transformation,[],[f215]) ).
fof(f275,plain,
( neq(sK7,nil)
| neq(sK7,nil) ),
inference(cnf_transformation,[],[f215]) ).
fof(f276,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f215]) ).
fof(f277,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f215]) ).
fof(f437,plain,
( neq(sK9,nil)
| neq(sK9,nil) ),
inference(definition_unfolding,[],[f275,f277,f277]) ).
fof(f442,plain,
( ~ neq(sK8,nil)
| ~ segmentP(sK9,sK8)
| ~ neq(sK9,nil) ),
inference(definition_unfolding,[],[f268,f276,f277,f276]) ).
fof(f533,plain,
neq(sK9,nil),
inference(duplicate_literal_removal,[],[f437]) ).
fof(f573,definition,
( spl46_11
<=> neq(sK9,nil) ),
introduced(definition,[new_symbols(definition,[spl46_11])],[avatar_definition]) ).
fof(f576,definition,
( spl46_12
<=> segmentP(sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl46_12])],[avatar_definition]) ).
fof(f579,definition,
( spl46_13
<=> neq(sK8,nil) ),
introduced(definition,[new_symbols(definition,[spl46_13])],[avatar_definition]) ).
fof(f581,plain,
( ~ spl46_11
| ~ spl46_12
| ~ spl46_13 ),
inference(avatar_split_clause,[],[f442,f579,f576,f573]) ).
fof(f585,plain,
( ~ spl46_11
| spl46_12 ),
inference(avatar_split_clause,[],[f270,f576,f573]) ).
fof(f588,plain,
( ~ spl46_11
| spl46_13 ),
inference(avatar_split_clause,[],[f272,f579,f573]) ).
fof(f590,plain,
spl46_11,
inference(avatar_split_clause,[],[f533,f573]) ).
cnf(s9,plain,
( ~ spl46_11
| ~ spl46_12
| ~ spl46_13 ),
inference(sat_conversion,[],[f581]) ).
cnf(s11,plain,
( ~ spl46_11
| spl46_12 ),
inference(sat_conversion,[],[f585]) ).
cnf(s13,plain,
( ~ spl46_11
| spl46_13 ),
inference(sat_conversion,[],[f588]) ).
cnf(s15,plain,
spl46_11,
inference(sat_conversion,[],[f590]) ).
cnf(s16,plain,
spl46_13,
inference(rat,[],[s13,s15]) ).
cnf(s17,plain,
spl46_12,
inference(rat,[],[s11,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s9,s16,s17,s15]) ).
fof(f591,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC121+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 28 08:01:27 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 0.23/1.61 % (1419767)Detected formulas, will run a generic FOF schedule.
% 0.23/1.61 % (1419778)dis-21_1_sil=8000:lcm=predicate:random_seed=2819752794:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.23/1.61 % (1419778)First to succeed.
% 0.23/1.61 % (1419775)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2926585294:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.23/1.61 % (1419778)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1419767"
% 0.23/1.61 % (1419775)Also succeeded, but the first one will report.
% 0.23/1.61 % (1419774)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=656290023:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.23/1.61 % (1419773)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2552782546:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.23/1.61 % (1419772)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=4195809533:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.23/1.61 % (1419776)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2026416651:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.23/1.61 % (1419777)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=505883638:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.23/1.61 % (1419776)Also succeeded, but the first one will report.
% 0.23/1.61 % (1419777)Also succeeded, but the first one will report.
% 0.23/1.61 % (1419778)Refutation found. Thanks to Tanya!
% 0.23/1.61 % SZS status Theorem for theBenchmark
% 0.23/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/1.61 % (1419778)------------------------------
% 0.23/1.61 % (1419778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.61 % (1419778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.61 % (1419778)CaDiCaL version: 2.1.3
% 0.23/1.61 % (1419778)Termination reason: Refutation
% 0.23/1.61 % (1419778)Time elapsed: 0.005 s
% 0.23/1.61 % (1419778)Peak memory usage: 89 MB
% 0.23/1.61 % (1419778)Instructions burned: 8 (million)
% 0.23/1.61 % (1419778)------------------------------
% 0.23/1.61 % (1419778)------------------------------
% 0.23/1.61 % (1419767)Success in time 0.457 s
% 0.23/1.61 % Vampire exiting
%------------------------------------------------------------------------------