%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n010.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 10:20:11 AM UTC 2026
% Result : Unsatisfiable 2.77s 1.36s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 10 unt; 3 def)
% Number of atoms : 60 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 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/theBenchmark.p',axiom_21) ).
fof(f33,axiom,
! [X0] :
( ~ p_Reset(X0)
| int_level(plus(X0,n1)) = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f34,plain,
! [X0] :
( n0 = int_level(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(reorient_equations,[],[f33]) ).
fof(f39,axiom,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f40,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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(f118,definition,
( spl0_1
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f119,plain,
( p_Rd_error(plus(t_139,n1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_2
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f122,plain,
( p_Wr_error(plus(t_139,n1))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,definition,
( spl0_3
<=> n0 = int_level(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f125,plain,
( n0 != int_level(plus(t_139,n1))
| spl0_3 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f116,f124,f121,f118]) ).
fof(f153,plain,
( n0 != n0
| ~ p_Reset(t_139)
| spl0_3 ),
inference(superposition,[],[f125,f34]) ).
fof(f154,plain,
( ~ p_Reset(t_139)
| spl0_3 ),
inference(trivial_inequality_removal,[],[f153]) ).
fof(f155,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f154,f113]) ).
fof(f156,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f157,plain,
( ~ p_Reset(t_139)
| ~ spl0_2 ),
inference(resolution,[],[f122,f39]) ).
fof(f158,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f157,f113]) ).
fof(f159,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( ~ p_Reset(t_139)
| ~ spl0_1 ),
inference(resolution,[],[f119,f40]) ).
fof(f161,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f160,f113]) ).
fof(f162,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f161]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f126]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f156]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f159]) ).
cnf(s6,plain,
~ spl0_1,
inference(sat_conversion,[],[f162]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s4,s5,s6]) ).
fof(f163,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV009-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:53:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/1.36 % (791408)Input is clausal, will run a generic CNF schedule.
% 2.77/1.36 % (791417)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2561171192:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.36 % (791417)First to succeed.
% 2.77/1.36 % (791417)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-791408"
% 2.77/1.36 % (791414)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=824498386:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.36 % (791416)lrs+10_1_sil=8000:sp=occurrence:random_seed=1357495521:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.36 % (791413)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2769107300:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.36 % (791415)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=914638106:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.36 % (791416)Also succeeded, but the first one will report.
% 2.77/1.36 % (791419)dis-21_1_sil=8000:lcm=predicate:random_seed=2751697543:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.77/1.36 % (791419)Also succeeded, but the first one will report.
% 2.77/1.36 % (791418)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=900915176:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.36 % (791418)Also succeeded, but the first one will report.
% 2.77/1.36 % (791417)Refutation found. Thanks to Tanya!
% 2.77/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.36 % (791417)------------------------------
% 2.77/1.36 % (791417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.36 % (791417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.36 % (791417)CaDiCaL version: 2.1.3
% 2.77/1.36 % (791417)Termination reason: Refutation
% 2.77/1.36 % (791417)Time elapsed: 0.003 s
% 2.77/1.36 % (791417)Peak memory usage: 89 MB
% 2.77/1.36 % (791417)Instructions burned: 5 (million)
% 2.77/1.36 % (791417)------------------------------
% 2.77/1.36 % (791417)------------------------------
% 2.77/1.36 % (791408)Success in time 0.31 s
% 2.77/1.36 % Vampire exiting
%------------------------------------------------------------------------------