%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV021-1 : 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 : n002.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 10:58:58 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 1 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 24 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0] :
( X0 = n0
| gt(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
fof(f19,plain,
! [X0] :
( gt(X0,n0)
| n0 = X0 ),
inference(reorient_equations,[],[f18]) ).
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] :
( n0 != int_level(X0)
| p_Empty(X0) ),
inference(reorient_equations,[],[f29]) ).
fof(f40,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_30) ).
fof(f66,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_52) ).
fof(f89,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_70) ).
fof(f113,negated_conjecture,
p_Rd_error(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f116,negated_conjecture,
~ p_Empty(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f128,plain,
! [X0] :
( p_Reset(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(forward_subsumption_resolution,[],[f66,f89]) ).
fof(f149,plain,
! [X0] :
( ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(forward_subsumption_resolution,[],[f128,f40]) ).
fof(f315,plain,
( ~ gt(int_level(t_139),n0)
| ~ p_Rd_error(plus(t_139,n1)) ),
inference(resolution,[],[f149,f114]) ).
fof(f316,plain,
~ gt(int_level(t_139),n0),
inference(forward_subsumption_resolution,[],[f315,f113]) ).
fof(f317,plain,
n0 = int_level(t_139),
inference(resolution,[],[f316,f19]) ).
fof(f322,definition,
( spl0_13
<=> n0 = int_level(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f324,plain,
( n0 = int_level(t_139)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f331,plain,
spl0_13,
inference(avatar_split_clause,[],[f317,f322]) ).
fof(f341,plain,
( n0 != n0
| p_Empty(t_139)
| ~ spl0_13 ),
inference(superposition,[],[f30,f324]) ).
fof(f343,plain,
( p_Empty(t_139)
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f341]) ).
fof(f353,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f343,f116]) ).
fof(f354,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f353]) ).
cnf(s11,plain,
spl0_13,
inference(sat_conversion,[],[f331]) ).
cnf(s15,plain,
~ spl0_13,
inference(sat_conversion,[],[f354]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s11,s15]) ).
fof(f355,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV021-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 11:00:37 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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
% 0.15/0.45 % (3363641)Will run a generic schedule for satisfiability detection.
% 0.15/0.45 % (3363647)% WARNING: option uhcvi not known.
% 0.15/0.45 % (3363652)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=746490687:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.45 % (3363646)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3128568112_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.45 % (3363647)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=580241551:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.45 % (3363649)dis+10_1_sil=32000:sp=arity:random_seed=296922713:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.45 % (3363651)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2140151698:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.45 % (3363650)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3914503464:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.45 % (3363648)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3442592248:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.45 % (3363651) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3363641-3363651"...
% 0.15/0.45 % (3363651)...printing done.
% 0.15/0.45 % (3363650) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3363641-3363650"...
% 0.15/0.45 % TRYING [1]
% 0.15/0.45 % (3363649) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3363641-3363649"...
% 0.15/0.45 % TRYING [2]
% 0.15/0.45 % (3363651)Refutation found. Thanks to Tanya!
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (3363651)------------------------------
% 0.15/0.46 % (3363651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (3363651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (3363651)CaDiCaL version: 2.1.3
% 0.15/0.46 % (3363651)Termination reason: Refutation
% 0.15/0.46 % (3363651)Time elapsed: 0.008 s
% 0.15/0.46 % (3363651)Peak memory usage: 12 MB
% 0.15/0.46 % (3363651)Instructions burned: 11 (million)
% 0.15/0.46 % (3363641)Success in time 0.045 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------