%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC339-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:05:36 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 17 unt; 2 def)
% Number of atoms : 65 ( 5 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 72 ( 40 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(app(sk5,sk3),sk6),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f216,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f219,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f216,f204,f205,f205]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(app(app(X0,X1),X2),X1) ),
inference(consistent_polarity_flipping,[],[f234]) ).
fof(f363,plain,
~ totalorderedP(sk3),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f366,plain,
( segmentP(sk4,sk3)
| totalorderedP(sk3) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f374,definition,
( spl0_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f378,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f380,plain,
( segmentP(sk4,sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f381,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f366,f378,f374]) ).
fof(f391,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f363,f374]) ).
fof(f1930,plain,
( ~ ssList(sk4)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ segmentP(sk4,sk3) ),
inference(superposition,[],[f351,f209]) ).
fof(f1933,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ segmentP(sk4,sk3) ),
inference(forward_subsumption_resolution,[],[f1930,f203]) ).
fof(f1940,plain,
( ~ ssList(sk3)
| ~ ssList(sk6)
| ~ segmentP(sk4,sk3) ),
inference(forward_subsumption_resolution,[],[f1933,f206]) ).
fof(f1946,plain,
( ~ ssList(sk6)
| ~ segmentP(sk4,sk3) ),
inference(forward_subsumption_resolution,[],[f1940,f202]) ).
fof(f1951,plain,
~ segmentP(sk4,sk3),
inference(forward_subsumption_resolution,[],[f1946,f207]) ).
fof(f1956,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1951,f380]) ).
fof(f1957,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1956]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f381]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f391]) ).
cnf(s53,plain,
~ spl0_2,
inference(sat_conversion,[],[f1957]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s1,s53,s3]) ).
fof(f1959,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC339-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:13:56 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.31 % (3711954)Will run a generic schedule for satisfiability detection.
% 0.19/0.31 % (3711959)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3828024576_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31 % (3711960)% WARNING: option uhcvi not known.
% 0.19/0.31 % TRYING [1]
% 0.19/0.31 % TRYING [2]
% 0.19/0.31 % (3711961)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4098713331:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31 % (3711960)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=520482093:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31 % (3711962)dis+10_1_sil=32000:sp=arity:random_seed=3723476543:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31 % (3711965)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1305077376:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31 % (3711963)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2418476385:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31 % (3711964)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3494450117:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31 % TRYING [3]
% 0.19/0.31 % TRYING [4]
% 0.19/0.31 % (3711960) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3711954-3711960"...
% 0.19/0.31 % (3711960)...printing done.
% 0.19/0.31 % (3711960)Refutation found. Thanks to Tanya!
% 0.19/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31 % (3711960)------------------------------
% 0.19/0.31 % (3711960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (3711960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (3711960)CaDiCaL version: 2.1.3
% 0.19/0.31 % (3711960)Termination reason: Refutation
% 0.19/0.31 % (3711960)Time elapsed: 0.037 s
% 0.19/0.31 % (3711960)Peak memory usage: 13 MB
% 0.19/0.31 % (3711960)Instructions burned: 59 (million)
% 0.19/0.31 % (3711954)Success in time 0.081 s
% 0.19/0.31 % Vampire exiting
%------------------------------------------------------------------------------