TSTP Solution File: DAT063_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT063_1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 16:04:47 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% 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(f69,plain,
$false,
inference(resolution,[],[f50,f52]) ).
tff(f52,plain,
lsls(sK0,empty),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
( lsls(sK0,empty)
& ~ $less(length(sK0),length(empty)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f36,f39]) ).
tff(f39,plain,
( ? [X0: heap] :
( lsls(X0,empty)
& ~ $less(length(X0),length(empty)) )
=> ( lsls(sK0,empty)
& ~ $less(length(sK0),length(empty)) ) ),
introduced(choice_axiom,[]) ).
tff(f36,plain,
? [X0: heap] :
( lsls(X0,empty)
& ~ $less(length(X0),length(empty)) ),
inference(ennf_transformation,[],[f28]) ).
tff(f28,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(f50,plain,
! [X0: heap] : ~ lsls(X0,empty),
inference(cnf_transformation,[],[f33]) ).
tff(f33,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
% 0.10/0.13 % Problem : DAT063=1 : TPTP v8.1.0. Released v5.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:43:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (29805)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (29801)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (29800)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (29800)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (29801)First to succeed.
% 0.20/0.56 % (29822)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.56 % (29814)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (29818)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (29817)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56 % (29810)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (29801)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (29801)------------------------------
% 0.20/0.56 % (29801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (29801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (29801)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (29801)Memory used [KB]: 5373
% 0.20/0.56 % (29801)Time elapsed: 0.118 s
% 0.20/0.56 % (29801)Instructions burned: 2 (million)
% 0.20/0.56 % (29801)------------------------------
% 0.20/0.56 % (29801)------------------------------
% 0.20/0.56 % (29793)Success in time 0.202 s
%------------------------------------------------------------------------------