%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV010-1 : 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 10:58:55 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 5 unt; 2 def)
% Number of atoms : 63 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 26 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
fof(f29,axiom,
! [X0] :
( int_level(X0) != n0
| p_Empty(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_24) ).
fof(f30,plain,
! [X0] :
( p_Empty(X0)
| n0 != int_level(X0) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
! [X0] :
( int_level(X0) = n0
| ~ p_Empty(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_25) ).
fof(f32,plain,
! [X0] :
( ~ p_Empty(X0)
| n0 = int_level(X0) ),
inference(reorient_equations,[],[f31]) ).
fof(f113,negated_conjecture,
( ~ p_Empty(t_139)
| level(t_139) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,plain,
( ~ p_Empty(t_139)
| n0 != level(t_139) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( p_Empty(t_139)
| level(t_139) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f116,plain,
( p_Empty(t_139)
| n0 = level(t_139) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,plain,
( ~ p_Empty(t_139)
| n0 != int_level(t_139) ),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f118,plain,
( p_Empty(t_139)
| n0 = int_level(t_139) ),
inference(definition_unfolding,[],[f116,f26]) ).
fof(f123,definition,
( spl0_1
<=> n0 = int_level(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f124,plain,
( n0 != int_level(t_139)
| spl0_1 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( n0 = int_level(t_139)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl0_2
<=> p_Empty(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f128,plain,
( ~ p_Empty(t_139)
| spl0_2 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f129,plain,
( p_Empty(t_139)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f118,f127,f123]) ).
fof(f131,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f117,f127,f123]) ).
fof(f176,plain,
( n0 = int_level(t_139)
| ~ spl0_2 ),
inference(resolution,[],[f32,f129]) ).
fof(f178,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f176,f124]) ).
fof(f179,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f180,plain,
( n0 != int_level(t_139)
| spl0_2 ),
inference(resolution,[],[f128,f30]) ).
fof(f181,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f180,f125]) ).
fof(f182,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f181]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f130]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f131]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f179]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f182]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f183,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:52:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.43 % (1859978)Will run a generic schedule for satisfiability detection.
% 0.10/0.43 % (1859987)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3836815941:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.43 % (1859984)% WARNING: option uhcvi not known.
% 0.10/0.43 % (1859987) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1859978-1859987"...
% 0.10/0.43 % (1859987)...printing done.
% 0.10/0.43 % (1859987)Refutation found. Thanks to Tanya!
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.43 % (1859987)------------------------------
% 0.10/0.43 % (1859987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.43 % (1859987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.43 % (1859987)CaDiCaL version: 2.1.3
% 0.10/0.43 % (1859987)Termination reason: Refutation
% 0.10/0.43 % (1859987)Time elapsed: 0.004 s
% 0.10/0.43 % (1859987)Peak memory usage: 12 MB
% 0.10/0.43 % (1859987)Instructions burned: 12 (million)
% 0.10/0.43 % (1859978)Success in time 0.021 s
% 0.10/0.43 % Vampire exiting
%------------------------------------------------------------------------------