TSTP Solution File: DAT063_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT063_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:03:57 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 7 ( 7 atm; 0 fun; 0 num; 0 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 5 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
get: heap > heap ).
tff(func_def_2,type,
app: ( heap * $int ) > heap ).
tff(func_def_3,type,
toop: heap > $int ).
tff(func_def_4,type,
length: heap > $int ).
tff(func_def_9,type,
sK0: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f65,plain,
$false,
inference(resolution,[],[f48,f44]) ).
tff(f44,plain,
lsls(sK0,empty),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
( ~ $less(length(sK0),length(empty))
& lsls(sK0,empty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f38]) ).
tff(f38,plain,
( ? [X0: heap] :
( ~ $less(length(X0),length(empty))
& lsls(X0,empty) )
=> ( ~ $less(length(sK0),length(empty))
& lsls(sK0,empty) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
? [X0: heap] :
( ~ $less(length(X0),length(empty))
& lsls(X0,empty) ),
inference(ennf_transformation,[],[f26]) ).
tff(f26,plain,
~ ! [X0: heap] :
( lsls(X0,empty)
=> $less(length(X0),length(empty)) ),
inference(rectify,[],[f13]) ).
tff(f13,negated_conjecture,
~ ! [X1: heap] :
( lsls(X1,empty)
=> $less(length(X1),length(empty)) ),
inference(negated_conjecture,[],[f12]) ).
tff(f12,conjecture,
! [X1: heap] :
( lsls(X1,empty)
=> $less(length(X1),length(empty)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_1b) ).
tff(f48,plain,
! [X0: heap] : ~ lsls(X0,empty),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: heap] : ~ lsls(X0,empty),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X1: heap] : ~ lsls(X1,empty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : DAT063_1 : TPTP v8.1.2. Released v5.5.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 22:02:04 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (21104)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (21107)WARNING: value z3 for option sas not known
% 0.11/0.35 % (21105)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (21110)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35 % (21108)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (21111)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35 % (21106)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (21109)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.35 % (21107)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (21108)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.35 % (21105)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.35 % (21105)Terminated due to inappropriate strategy.
% 0.11/0.35 % (21105)------------------------------
% 0.11/0.35 % (21105)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (21108)Terminated due to inappropriate strategy.
% 0.11/0.35 % (21108)------------------------------
% 0.11/0.35 % (21108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (21108)Termination reason: Inappropriate
% 0.11/0.35
% 0.11/0.35 % (21108)Memory used [KB]: 747
% 0.11/0.35 % (21108)Time elapsed: 0.002 s
% 0.11/0.35 % (21108)Instructions burned: 2 (million)
% 0.11/0.35 % (21108)------------------------------
% 0.11/0.35 % (21108)------------------------------
% 0.11/0.35 % (21106)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.35 % (21106)Terminated due to inappropriate strategy.
% 0.11/0.35 % (21106)------------------------------
% 0.11/0.35 % (21106)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (21105)Termination reason: Inappropriate
% 0.11/0.35
% 0.11/0.35 % (21105)Memory used [KB]: 747
% 0.11/0.35 % (21105)Time elapsed: 0.002 s
% 0.11/0.35 % (21105)Instructions burned: 2 (million)
% 0.11/0.35 % (21105)------------------------------
% 0.11/0.35 % (21105)------------------------------
% 0.11/0.35 % (21106)Termination reason: Inappropriate
% 0.11/0.35
% 0.11/0.35 % (21106)Memory used [KB]: 747
% 0.11/0.35 % (21106)Time elapsed: 0.003 s
% 0.11/0.35 % (21106)Instructions burned: 2 (million)
% 0.11/0.35 % (21106)------------------------------
% 0.11/0.35 % (21106)------------------------------
% 0.11/0.35 % (21111)First to succeed.
% 0.11/0.35 % (21110)Also succeeded, but the first one will report.
% 0.11/0.35 % (21109)Also succeeded, but the first one will report.
% 0.11/0.35 % (21111)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (21111)------------------------------
% 0.11/0.35 % (21111)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (21111)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (21111)Memory used [KB]: 776
% 0.11/0.35 % (21111)Time elapsed: 0.003 s
% 0.11/0.35 % (21111)Instructions burned: 4 (million)
% 0.11/0.35 % (21111)------------------------------
% 0.11/0.35 % (21111)------------------------------
% 0.11/0.35 % (21104)Success in time 0.018 s
%------------------------------------------------------------------------------