%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC130-1 : 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 01:04:47 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 17 unt; 2 def)
% Number of atoms : 52 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause7) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
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(f206,negated_conjecture,
~ neq(sk4,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ cyclefreeP(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f210,plain,
~ cyclefreeP(sk4),
inference(definition_unfolding,[],[f207,f204]) ).
fof(f238,plain,
~ cyclefreeP(nil),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f258,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f296,plain,
neq(sk4,nil),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f297,plain,
cyclefreeP(sk4),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f309,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f310,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f345,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f309]) ).
fof(f508,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4 ),
inference(resolution,[],[f258,f296]) ).
fof(f513,plain,
( ~ ssList(nil)
| nil = sk4 ),
inference(forward_subsumption_resolution,[],[f508,f203]) ).
fof(f514,plain,
( nil = sk4
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f513,f310]) ).
fof(f521,definition,
( spl0_10
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f523,plain,
( nil = sk4
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f603,plain,
( spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f514,f309,f521]) ).
fof(f652,plain,
( cyclefreeP(nil)
| ~ spl0_10 ),
inference(superposition,[],[f297,f523]) ).
fof(f656,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f652,f238]) ).
fof(f657,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f656]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f345]) ).
cnf(s14,plain,
( ~ spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f603]) ).
cnf(s17,plain,
~ spl0_10,
inference(sat_conversion,[],[f657]) ).
cnf(s19,plain,
~ spl0_2,
inference(rat,[],[s14,s17]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s10,s19]) ).
fof(f658,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC130-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 08:03:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 0.15/0.47 % (2877227)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (2877233)% WARNING: option uhcvi not known.
% 0.15/0.47 % (2877233)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2631110825:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (2877232)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3476727845_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (2877234)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2123882885:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (2877235)dis+10_1_sil=32000:sp=arity:random_seed=3763556053:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (2877233) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2877227-2877233"...
% 0.15/0.47 % (2877236)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=932364951:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (2877237)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3120657900:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (2877238)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2007601658:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (2877233)...printing done.
% 0.15/0.47 % (2877233)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (2877233)------------------------------
% 0.15/0.47 % (2877233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (2877233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (2877233)CaDiCaL version: 2.1.3
% 0.15/0.47 % (2877233)Termination reason: Refutation
% 0.15/0.47 % (2877233)Time elapsed: 0.007 s
% 0.15/0.47 % (2877233)Peak memory usage: 12 MB
% 0.15/0.47 % (2877233)Instructions burned: 17 (million)
% 0.15/0.47 % (2877227)Success in time 0.043 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------