%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV009-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 10:58:54 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 12 unt; 3 def)
% Number of atoms : 62 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
fof(f33,axiom,
! [X0] :
( ~ p_Reset(X0)
| int_level(plus(X0,n1)) = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_26) ).
fof(f34,plain,
! [X0] :
( ~ p_Reset(X0)
| n0 = int_level(plus(X0,n1)) ),
inference(reorient_equations,[],[f33]) ).
fof(f39,axiom,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_29) ).
fof(f40,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_30) ).
fof(f113,negated_conjecture,
p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
( level(plus(t_139,n1)) != n0
| p_Wr_error(plus(t_139,n1))
| p_Rd_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,plain,
( n0 != level(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| p_Rd_error(plus(t_139,n1)) ),
inference(reorient_equations,[],[f114]) ).
fof(f116,plain,
( n0 != int_level(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| p_Rd_error(plus(t_139,n1)) ),
inference(definition_unfolding,[],[f115,f26]) ).
fof(f240,definition,
( spl0_16
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f241,plain,
( ~ p_Rd_error(plus(t_139,n1))
| spl0_16 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( p_Rd_error(plus(t_139,n1))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f248,plain,
( ~ p_Reset(t_139)
| ~ spl0_16 ),
inference(resolution,[],[f242,f40]) ).
fof(f249,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f248,f113]) ).
fof(f250,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f287,plain,
( n0 != int_level(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1))
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f116,f241]) ).
fof(f289,definition,
( spl0_22
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f291,plain,
( p_Wr_error(plus(t_139,n1))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_23
<=> n0 = int_level(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f295,plain,
( n0 != int_level(plus(t_139,n1))
| spl0_23 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,plain,
( spl0_22
| ~ spl0_23
| spl0_16 ),
inference(avatar_split_clause,[],[f287,f240,f293,f289]) ).
fof(f297,plain,
( ~ p_Reset(t_139)
| ~ spl0_22 ),
inference(resolution,[],[f291,f39]) ).
fof(f298,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f297,f113]) ).
fof(f299,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f317,plain,
n0 = int_level(plus(t_139,n1)),
inference(resolution,[],[f34,f113]) ).
fof(f318,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f317,f295]) ).
fof(f319,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f318]) ).
cnf(s203,plain,
~ spl0_16,
inference(sat_conversion,[],[f250]) ).
cnf(s240,plain,
( spl0_16
| spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f296]) ).
cnf(s243,plain,
~ spl0_22,
inference(sat_conversion,[],[f299]) ).
cnf(s256,plain,
spl0_23,
inference(sat_conversion,[],[f319]) ).
cnf(s257,plain,
spl0_16,
inference(rat,[],[s240,s256,s243]) ).
cnf(s258,plain,
$false,
inference(rat,[],[s203,s257]) ).
fof(f320,plain,
$false,
inference(avatar_sat_refutation,[],[s258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV009-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n018.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:54:54 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.48 % (2160512)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (2160519)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=563776663:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (2160518)% WARNING: option uhcvi not known.
% 0.19/0.48 % (2160519) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2160512-2160519"...
% 0.19/0.48 % (2160519)...printing done.
% 0.19/0.48 % (2160519)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (2160519)------------------------------
% 0.19/0.48 % (2160519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (2160519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (2160519)CaDiCaL version: 2.1.3
% 0.19/0.48 % (2160519)Termination reason: Refutation
% 0.19/0.48 % (2160519)Time elapsed: 0.004 s
% 0.19/0.48 % (2160519)Peak memory usage: 12 MB
% 0.19/0.48 % (2160519)Instructions burned: 9 (million)
% 0.19/0.48 % (2160512)Success in time 0.032 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------