%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV012-1 : 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 : n011.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 10:20:12 AM UTC 2026
% Result : Unsatisfiable 6.03s 2.18s
% Output : Refutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 33 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 39 ( 22 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 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,
gt(fifo_length,level(t_139)),
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(f115,negated_conjecture,
p_Wr_error(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f116,plain,
gt(fifo_length,int_level(t_139)),
inference(definition_unfolding,[],[f113,f26]) ).
fof(f117,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| p_Rd(X0)
| ~ gt(fifo_length,int_level(X0))
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[],[f44,f39]) ).
fof(f118,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[],[f65,f39]) ).
fof(f122,plain,
( ~ p_Rd(t_139)
| ~ p_Wr(t_139) ),
inference(resolution,[],[f118,f115]) ).
fof(f123,plain,
~ p_Rd(t_139),
inference(forward_subsumption_resolution,[],[f122,f114]) ).
fof(f156,plain,
( p_Rd(t_139)
| ~ gt(fifo_length,int_level(t_139))
| ~ p_Wr(t_139) ),
inference(resolution,[],[f117,f115]) ).
fof(f158,plain,
( ~ gt(fifo_length,int_level(t_139))
| ~ p_Wr(t_139) ),
inference(forward_subsumption_resolution,[],[f156,f123]) ).
fof(f159,plain,
~ p_Wr(t_139),
inference(forward_subsumption_resolution,[],[f158,f116]) ).
fof(f160,plain,
$false,
inference(forward_subsumption_resolution,[],[f159,f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n011.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 10:52:15 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 6.03/2.18 % (2218633)Input is clausal, will run a generic CNF schedule.
% 6.03/2.18 % (2218645)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4160559461:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.03/2.18 % (2218641)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=2278864952:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.03/2.18 % (2218646)lrs+10_1_sil=8000:sp=occurrence:random_seed=268045692:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.03/2.18 % (2218643)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=373922992:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.03/2.18 % (2218651)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2496850701:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.03/2.18 % (2218649)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=93050273:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.03/2.18 % (2218646)First to succeed.
% 6.03/2.18 % (2218646)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2218633"
% 6.03/2.18 % (2218651)Also succeeded, but the first one will report.
% 6.03/2.18 % (2218652)dis-21_1_sil=8000:lcm=predicate:random_seed=1889937523: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)
% 6.03/2.18 % (2218649)Also succeeded, but the first one will report.
% 6.03/2.18 % (2218652)Also succeeded, but the first one will report.
% 6.03/2.18 % (2218646)Refutation found. Thanks to Tanya!
% 6.03/2.18 % SZS status Unsatisfiable for theBenchmark
% 6.03/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 6.03/2.18 % (2218646)------------------------------
% 6.03/2.18 % (2218646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/2.18 % (2218646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/2.18 % (2218646)CaDiCaL version: 2.1.3
% 6.03/2.18 % (2218646)Termination reason: Refutation
% 6.03/2.18 % (2218646)Time elapsed: 0.005 s
% 6.03/2.18 % (2218646)Peak memory usage: 88 MB
% 6.03/2.18 % (2218646)Instructions burned: 3 (million)
% 6.03/2.18 % (2218646)------------------------------
% 6.03/2.18 % (2218646)------------------------------
% 6.03/2.18 % (2218633)Success in time 0.729 s
% 6.03/2.18 % Vampire exiting
%------------------------------------------------------------------------------