%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC116-1 : 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 : 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 01:04:44 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 46 ( 12 unt; 6 def)
% Number of atoms : 92 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 40 ~; 40 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f214,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f208,f205,f204,f205]) ).
fof(f246,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f250,definition,
( spl0_2
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f252,plain,
( ~ neq(sk4,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f210,f250,f246]) ).
fof(f255,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f258,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f209,f250,f255]) ).
fof(f259,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f214,f255,f246]) ).
fof(f261,definition,
( spl0_4
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f265,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f267,plain,
( nil != sk4
| spl0_5 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f213,f265,f261]) ).
fof(f269,plain,
( ~ spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f206,f261,f265]) ).
fof(f275,definition,
( spl0_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f276,plain,
( ssList(nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f311,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f275]) ).
fof(f500,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f252]) ).
fof(f503,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f500,f203]) ).
fof(f504,plain,
( nil = sk4
| spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f503,f276]) ).
fof(f505,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f504,f267]) ).
fof(f506,plain,
( spl0_2
| spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f505]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f253]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f258]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f259]) ).
cnf(s4,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f268]) ).
cnf(s5,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f269]) ).
cnf(s15,plain,
spl0_7,
inference(sat_conversion,[],[f311]) ).
cnf(s16,plain,
( spl0_2
| spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f506]) ).
cnf(s21,plain,
~ spl0_5,
inference(rat,[],[s4,s5]) ).
cnf(s22,plain,
spl0_2,
inference(rat,[],[s16,s15,s21]) ).
cnf(s23,plain,
spl0_3,
inference(rat,[],[s2,s22]) ).
cnf(s24,plain,
spl0_1,
inference(rat,[],[s1,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s3,s23,s24]) ).
fof(f507,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC116-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 07:59:22 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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
% 0.15/0.46 % (194069)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (194080)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=902498697:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % (194075)% WARNING: option uhcvi not known.
% 0.15/0.46 % (194074)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1462863384_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % (194075)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3530444314:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % (194076)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=636052237:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (194077)dis+10_1_sil=32000:sp=arity:random_seed=2138175417:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (194078)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3294083840:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (194079)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=759445686:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % (194077) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-194069-194077"...
% 0.15/0.46 % (194075) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-194069-194075"...
% 0.15/0.46 % (194077)...printing done.
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % (194077)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (194077)------------------------------
% 0.15/0.46 % (194077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (194077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (194077)CaDiCaL version: 2.1.3
% 0.15/0.46 % (194077)Termination reason: Refutation
% 0.15/0.46 % (194077)Time elapsed: 0.008 s
% 0.15/0.46 % (194077)Peak memory usage: 12 MB
% 0.15/0.46 % (194077)Instructions burned: 12 (million)
% 0.15/0.46 % (194069)Success in time 0.045 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------