%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV010-3 : 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 0.41s 1.03s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 8 unt; 1 def)
% Number of atoms : 18 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 4 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f10,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f152,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f155,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(definition_unfolding,[],[f153,f5]) ).
fof(f156,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f157,plain,
sQ0_eqProxy(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(equality_proxy_replacement,[],[f155,f156]) ).
fof(f184,plain,
! [X0] :
( ~ sQ0_eqProxy(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(equality_proxy_replacement,[],[f10,f156]) ).
fof(f208,plain,
! [X0,X1] :
( sQ0_eqProxy(X1,X0)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f156]) ).
fof(f213,plain,
! [X0] :
( ~ sQ0_eqProxy(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(resolution,[],[f184,f208]) ).
fof(f214,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(resolution,[],[f213,f157]) ).
fof(f217,plain,
$false,
inference(resolution,[],[f214,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV010-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n010.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 10:52:46 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.41/1.03 % (791004)Input is clausal, will run a generic CNF schedule.
% 0.41/1.03 % (791015)dis-21_1_sil=8000:lcm=predicate:random_seed=2842375524: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)
% 0.41/1.03 % (791015)First to succeed.
% 0.41/1.03 % (791015)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-791004"
% 0.41/1.03 % (791014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1578240725:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.41/1.03 % (791011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2529989844:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.41/1.03 % (791009)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=1989941821:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.41/1.03 % (791012)lrs+10_1_sil=8000:sp=occurrence:random_seed=2843493063:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.41/1.03 % (791010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2516369917:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.41/1.03 % (791013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=862901564:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.41/1.03 % (791013)Also succeeded, but the first one will report.
% 0.41/1.03 % (791012)Also succeeded, but the first one will report.
% 0.41/1.03 % (791014)Also succeeded, but the first one will report.
% 0.41/1.03 % (791015)Refutation found. Thanks to Tanya!
% 0.41/1.03 % SZS status Unsatisfiable for theBenchmark
% 0.41/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/1.03 % (791015)------------------------------
% 0.41/1.03 % (791015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.41/1.03 % (791015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/1.03 % (791015)CaDiCaL version: 2.1.3
% 0.41/1.03 % (791015)Termination reason: Refutation
% 0.41/1.03 % (791015)Time elapsed: 0.002 s
% 0.41/1.03 % (791015)Peak memory usage: 88 MB
% 0.41/1.03 % (791015)Instructions burned: 5 (million)
% 0.41/1.03 % (791015)------------------------------
% 0.41/1.03 % (791015)------------------------------
% 0.41/1.03 % (791004)Success in time 0.29 s
% 0.41/1.03 % Vampire exiting
%------------------------------------------------------------------------------