%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV026-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:59:00 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 6 unt; 2 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 26 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,axiom,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| p_Wr(X0)
| p_Reset(X0)
| p_Wr_error(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_89) ).
fof(f112,axiom,
! [X0] :
( ~ p_Wr_error(X0)
| p_Wr(X0)
| p_Wr_error(plus(X0,n1))
| p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_90) ).
fof(f113,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
( ~ p_Wr_error(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
( p_Wr_error(t_139)
| p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f118,definition,
( spl0_1
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f119,plain,
( ~ p_Wr_error(plus(t_139,n1))
| spl0_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( p_Wr_error(plus(t_139,n1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl0_2
<=> p_Wr_error(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f123,plain,
( ~ p_Wr_error(t_139)
| spl0_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( p_Wr_error(t_139)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f116,f122,f118]) ).
fof(f126,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f115,f122,f118]) ).
fof(f291,plain,
( p_Wr(t_139)
| p_Wr_error(plus(t_139,n1))
| p_Reset(t_139)
| ~ spl0_2 ),
inference(resolution,[],[f112,f124]) ).
fof(f292,plain,
( p_Wr_error(plus(t_139,n1))
| p_Reset(t_139)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f291,f113]) ).
fof(f293,plain,
( p_Reset(t_139)
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f292,f119]) ).
fof(f294,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f293,f114]) ).
fof(f295,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f296,plain,
( p_Wr(t_139)
| p_Reset(t_139)
| p_Wr_error(t_139)
| ~ spl0_1 ),
inference(resolution,[],[f120,f111]) ).
fof(f312,plain,
( p_Reset(t_139)
| p_Wr_error(t_139)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f296,f113]) ).
fof(f313,plain,
( p_Wr_error(t_139)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f312,f114]) ).
fof(f314,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f313,f123]) ).
fof(f315,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f314]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f125]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f126]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f295]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f315]) ).
cnf(s12,plain,
spl0_1,
inference(rat,[],[s1,s9]) ).
cnf(s13,plain,
spl0_2,
inference(rat,[],[s11,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s13,s12]) ).
fof(f316,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV026-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:58:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.44 % (1862376)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (1862386)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1167156888:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.44 % (1862386) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1862376-1862386"...
% 0.09/0.44 % (1862382)% WARNING: option uhcvi not known.
% 0.09/0.44 % (1862386)...printing done.
% 0.09/0.44 % (1862386)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (1862386)------------------------------
% 0.09/0.44 % (1862386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (1862386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (1862386)CaDiCaL version: 2.1.3
% 0.09/0.44 % (1862386)Termination reason: Refutation
% 0.09/0.44 % (1862386)Time elapsed: 0.004 s
% 0.09/0.44 % (1862386)Peak memory usage: 12 MB
% 0.09/0.44 % (1862386)Instructions burned: 10 (million)
% 0.09/0.44 % (1862376)Success in time 0.037 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------