%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC009-1 : 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 : n006.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 01:04:16 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.48s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 19 unt; 3 def)
% Number of atoms : 62 ( 22 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 61 ( 33 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
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,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f208]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk4
| app(X0,X2) != sk3 ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f259,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f295,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f259]) ).
fof(f296,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(sk3,X0),X1)
| sk3 != app(sk3,X1) ),
inference(resolution,[],[f216,f202]) ).
fof(f307,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(app(sk3,sk5),X0)
| sk3 != app(sk3,X0) ),
inference(resolution,[],[f296,f207]) ).
fof(f328,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk4,X0)
| sk3 != app(sk3,X0) ),
inference(forward_demodulation,[],[f307,f209]) ).
fof(f388,plain,
( sk4 != app(sk4,nil)
| sk3 != app(sk3,nil)
| ~ spl0_4 ),
inference(resolution,[],[f260,f328]) ).
fof(f390,definition,
( spl0_24
<=> sk3 = app(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f392,plain,
( sk3 != app(sk3,nil)
| spl0_24 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f394,definition,
( spl0_25
<=> sk4 = app(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f397,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f388,f259,f394,f390]) ).
fof(f874,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f875,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f877,plain,
spl0_25,
inference(avatar_split_clause,[],[f875,f394]) ).
fof(f878,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f874,f392]) ).
fof(f879,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f878]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f295]) ).
cnf(s18,plain,
( ~ spl0_4
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f397]) ).
cnf(s23,plain,
spl0_25,
inference(sat_conversion,[],[f877]) ).
cnf(s24,plain,
spl0_24,
inference(sat_conversion,[],[f879]) ).
cnf(s28,plain,
~ spl0_4,
inference(rat,[],[s18,s23,s24]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s11,s28]) ).
fof(f880,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 07:25:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.48 % (3793108)Will run a generic schedule for satisfiability detection.
% 0.12/0.48 % (3793117)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1027028365:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.48 % (3793113)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1446552273_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.48 % (3793115)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=387119039:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.48 % (3793116)dis+10_1_sil=32000:sp=arity:random_seed=4056939797:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.48 % (3793118)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=756288076:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.48 % (3793119)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1399750749:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.48 % (3793114)% WARNING: option uhcvi not known.
% 0.12/0.48 % (3793114)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2898397930:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.48 % (3793116) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3793108-3793116"...
% 0.12/0.48 % (3793117) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3793108-3793117"...
% 0.12/0.48 % (3793116)...printing done.
% 0.12/0.48 % (3793117)...printing done.
% 0.12/0.48 % (3793117)Refutation found. Thanks to Tanya!
% 0.12/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.48 % (3793117)------------------------------
% 0.12/0.48 % (3793117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.48 % (3793117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.48 % (3793117)CaDiCaL version: 2.1.3
% 0.12/0.48 % (3793117)Termination reason: Refutation
% 0.12/0.48 % (3793117)Time elapsed: 0.015 s
% 0.12/0.48 % (3793117)Peak memory usage: 13 MB
% 0.12/0.48 % (3793117)Instructions burned: 50 (million)
% 0.12/0.48 % (3793108)Success in time 0.043 s
% 0.12/0.48 % Vampire exiting
%------------------------------------------------------------------------------