%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC038-1 : 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 : n011.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 01:02:09 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.49s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 12 unt; 2 def)
% Number of atoms : 46 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f211,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f215,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f212,f206]) ).
fof(f219,plain,
( sk3 = sk4
| frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f211,f212]) ).
fof(f221,plain,
! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f84,f212,f212]) ).
fof(f238,definition,
( spl0_1
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f240,plain,
( frontsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl0_2
<=> sk3 = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f243,plain,
( sk3 != sk4
| spl0_2 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f219,f242,f238]) ).
fof(f251,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f215,f242]) ).
fof(f256,plain,
( ~ ssList(sk3)
| sk3 = sk4
| ~ spl0_1 ),
inference(resolution,[],[f221,f240]) ).
fof(f259,plain,
( sk3 = sk4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f256,f202]) ).
fof(f260,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f259,f243]) ).
fof(f261,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f260]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f245]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f251]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f261]) ).
cnf(s5,plain,
~ spl0_1,
inference(rat,[],[s4,s3]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s3,s5]) ).
fof(f262,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n011.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:32:16 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.47/1.49 % (3227554)Input is clausal, will run a generic CNF schedule.
% 3.47/1.49 % (3227559)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=3233391566:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.49 % (3227565)dis-21_1_sil=8000:lcm=predicate:random_seed=2294796570: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)
% 3.47/1.49 % (3227563)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1596947134:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.49 % (3227564)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2763927932:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.49 % (3227562)lrs+10_1_sil=8000:sp=occurrence:random_seed=814681184:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.49 % (3227560)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3425157373:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.49 % (3227561)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1943545528:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.49 % (3227562)First to succeed.
% 3.47/1.49 % (3227563)Also succeeded, but the first one will report.
% 3.47/1.49 % (3227565)Also succeeded, but the first one will report.
% 3.47/1.49 % (3227562)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3227554"
% 3.47/1.49 % (3227564)Also succeeded, but the first one will report.
% 3.47/1.49 % (3227562)Refutation found. Thanks to Tanya!
% 3.47/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.49 % (3227562)------------------------------
% 3.47/1.49 % (3227562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.49 % (3227562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.49 % (3227562)CaDiCaL version: 2.1.3
% 3.47/1.49 % (3227562)Termination reason: Refutation
% 3.47/1.49 % (3227562)Time elapsed: 0.003 s
% 3.47/1.49 % (3227562)Peak memory usage: 90 MB
% 3.47/1.49 % (3227562)Instructions burned: 2 (million)
% 3.47/1.49 % (3227562)------------------------------
% 3.47/1.49 % (3227562)------------------------------
% 3.47/1.49 % (3227554)Success in time 0.416 s
% 3.47/1.49 % Vampire exiting
%------------------------------------------------------------------------------