%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV019-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 10:20:14 AM UTC 2026
% Result : Unsatisfiable 2.72s 1.37s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 10 unt; 2 def)
% Number of atoms : 57 ( 1 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f39,axiom,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f44,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| ~ gt(fifo_length,int_level(X0))
| ~ p_Wr_error(plus(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f65,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| ~ p_Wr_error(plus(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f113,negated_conjecture,
p_Wr_error(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f116,negated_conjecture,
( gt(fifo_length,level(t_139))
| p_Rd(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f117,plain,
( gt(fifo_length,int_level(t_139))
| p_Rd(t_139) ),
inference(definition_unfolding,[],[f116,f26]) ).
fof(f119,definition,
( spl0_1
<=> p_Rd(t_139) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f120,plain,
( p_Rd(t_139)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,definition,
( spl0_2
<=> gt(fifo_length,int_level(t_139)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f123,plain,
( gt(fifo_length,int_level(t_139))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f117,f122,f119]) ).
fof(f206,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[],[f65,f39]) ).
fof(f216,plain,
( ~ p_Rd(t_139)
| ~ p_Wr(t_139) ),
inference(resolution,[],[f206,f113]) ).
fof(f225,plain,
~ p_Rd(t_139),
inference(forward_subsumption_resolution,[],[f216,f114]) ).
fof(f377,plain,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ gt(fifo_length,int_level(X0))
| ~ p_Wr_error(plus(X0,n1)) ),
inference(forward_subsumption_resolution,[],[f44,f206]) ).
fof(f378,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ gt(fifo_length,int_level(X0))
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[],[f377,f39]) ).
fof(f388,plain,
( ~ gt(fifo_length,int_level(t_139))
| ~ p_Wr(t_139) ),
inference(resolution,[],[f378,f113]) ).
fof(f395,plain,
( ~ p_Wr(t_139)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f388,f123]) ).
fof(f396,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f395,f114]) ).
fof(f397,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f398,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f120,f225]) ).
fof(f399,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f398]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f124]) ).
cnf(s33,plain,
~ spl0_2,
inference(sat_conversion,[],[f397]) ).
cnf(s34,plain,
~ spl0_1,
inference(sat_conversion,[],[f399]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s1,s33,s34]) ).
fof(f401,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV019-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:55:09 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.72/1.37 % (1049402)Input is clausal, will run a generic CNF schedule.
% 2.72/1.37 % (1049411)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3961132182:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.37 % (1049411)First to succeed.
% 2.72/1.37 % (1049411)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1049402"
% 2.72/1.37 % (1049412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3424242574:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.37 % (1049409)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2486610807:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.37 % (1049410)lrs+10_1_sil=8000:sp=occurrence:random_seed=1510179726:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.37 % (1049408)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=217748479:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.37 % (1049407)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=3104691264:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.37 % (1049413)dis-21_1_sil=8000:lcm=predicate:random_seed=2525309965: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)
% 2.72/1.37 % (1049410)Also succeeded, but the first one will report.
% 2.72/1.37 % (1049413)Also succeeded, but the first one will report.
% 2.72/1.37 % (1049412)Also succeeded, but the first one will report.
% 2.72/1.37 % (1049411)Refutation found. Thanks to Tanya!
% 2.72/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.37 % (1049411)------------------------------
% 2.72/1.37 % (1049411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.37 % (1049411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.37 % (1049411)CaDiCaL version: 2.1.3
% 2.72/1.37 % (1049411)Termination reason: Refutation
% 2.72/1.37 % (1049411)Time elapsed: 0.006 s
% 2.72/1.37 % (1049411)Peak memory usage: 89 MB
% 2.72/1.37 % (1049411)Instructions burned: 10 (million)
% 2.72/1.37 % (1049411)------------------------------
% 2.72/1.37 % (1049411)------------------------------
% 2.72/1.37 % (1049402)Success in time 0.305 s
% 2.72/1.37 % Vampire exiting
%------------------------------------------------------------------------------