%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:04:38 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 15 unt; 2 def)
% Number of atoms : 63 ( 22 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 69 ( 38 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk4 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
sk3 = sk4,
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk1
| app(X0,X2) != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
sk1 = sk4,
inference(definition_unfolding,[],[f205,f207]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk4
| app(X0,X2) != sk4 ),
inference(definition_unfolding,[],[f208,f209,f204]) ).
fof(f247,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f248,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f283,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f247]) ).
fof(f284,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk4 != app(app(sk4,X0),X1)
| sk4 != app(sk4,X1) ),
inference(resolution,[],[f213,f203]) ).
fof(f306,plain,
( ! [X0] :
( ~ ssList(X0)
| sk4 != app(app(sk4,nil),X0)
| sk4 != app(sk4,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f248,f284]) ).
fof(f324,definition,
( spl0_14
<=> sk4 = app(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f325,plain,
( sk4 = app(sk4,nil)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f326,plain,
( sk4 != app(sk4,nil)
| spl0_14 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f362,plain,
( sk4 != app(app(sk4,nil),nil)
| sk4 != app(sk4,nil)
| ~ spl0_2 ),
inference(resolution,[],[f306,f248]) ).
fof(f791,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f792,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f791,f326]) ).
fof(f793,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f794,plain,
( sk4 != app(app(sk4,nil),nil)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f362,f325]) ).
fof(f795,plain,
( sk4 != app(sk4,nil)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f794,f325]) ).
fof(f796,plain,
( $false
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f795,f325]) ).
fof(f797,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f796]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f283]) ).
cnf(s17,plain,
spl0_14,
inference(sat_conversion,[],[f793]) ).
cnf(s18,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(sat_conversion,[],[f797]) ).
cnf(s19,plain,
~ spl0_2,
inference(rat,[],[s18,s17]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s10,s19]) ).
fof(f798,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:50:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 % (2870964)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2870973)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3474955147:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2870970)% WARNING: option uhcvi not known.
% 0.16/0.47 % (2870969)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1650262967_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (2870970)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1867658327:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2870971)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=719943288:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2870972)dis+10_1_sil=32000:sp=arity:random_seed=121873251:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2870975)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3098282236:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (2870974)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1409878400:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (2870972) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870964-2870972"...
% 0.16/0.47 % (2870970) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870964-2870970"...
% 0.16/0.47 % (2870973) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870964-2870973"...
% 0.16/0.47 % (2870973)...printing done.
% 0.16/0.47 % (2870972)...printing done.
% 0.16/0.47 % (2870970)...printing done.
% 0.16/0.47 % (2870973)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2870973)------------------------------
% 0.16/0.47 % (2870973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2870973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2870973)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2870973)Termination reason: Refutation
% 0.16/0.47 % (2870973)Time elapsed: 0.014 s
% 0.16/0.47 % (2870973)Peak memory usage: 13 MB
% 0.16/0.47 % (2870973)Instructions burned: 47 (million)
% 0.16/0.47 % (2870964)Success in time 0.049 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------