TSTP Solution File: DAT069_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT069_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_uns --cores 0 -t %d %s
% Computer : n006.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 16:04:05 EDT 2022
% Result : Theorem 1.82s 0.60s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 33 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 37 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 7 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 62 ( 15 atm; 11 fun; 9 num; 27 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 29 !; 9 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
toop: heap > $int ).
tff(func_def_2,type,
sel: ( heap * $int ) > $int ).
tff(func_def_3,type,
length: heap > $int ).
tff(func_def_4,type,
app: ( heap * $int ) > heap ).
tff(func_def_5,type,
get: heap > heap ).
tff(func_def_10,type,
sK0: $int ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f301,plain,
$false,
inference(subsumption_resolution,[],[f300,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f300,plain,
$less(sK1,sK1),
inference(backward_demodulation,[],[f107,f292]) ).
tff(f292,plain,
$sum(1,length(sK2)) = sK1,
inference(unit_resulting_resolution,[],[f68,f70]) ).
tff(f70,plain,
! [X2: heap,X0: $int,X1: $int] :
( ( sel(X2,X0) = sel(app(X2,X1),X0) )
| ( $sum(1,length(X2)) = X0 ) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $int,X1: $int,X2: heap] :
( ( $sum(1,length(X2)) = X0 )
| ( sel(X2,X0) = sel(app(X2,X1),X0) ) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
! [X2: $int,X0: $int,X1: heap] :
( ( $sum(1,length(X1)) = X2 )
| ( sel(app(X1,X0),X2) = sel(X1,X2) ) ),
inference(ennf_transformation,[],[f35]) ).
tff(f35,plain,
! [X1: heap,X0: $int,X2: $int] :
( ( $sum(1,length(X1)) != X2 )
=> ( sel(app(X1,X0),X2) = sel(X1,X2) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: $int,X1: heap,X0: $int] :
( ( $sum(1,length(X1)) != X0 )
=> ( sel(app(X1,X2),X0) = sel(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_3) ).
tff(f68,plain,
sel(sK2,sK1) != sel(app(sK2,sK0),sK1),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
( ~ $less(length(sK2),sK1)
& ( sel(sK2,sK1) != sel(app(sK2,sK0),sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f53]) ).
tff(f53,plain,
( ? [X0: $int,X1: $int,X2: heap] :
( ~ $less(length(X2),X1)
& ( sel(X2,X1) != sel(app(X2,X0),X1) ) )
=> ( ~ $less(length(sK2),sK1)
& ( sel(sK2,sK1) != sel(app(sK2,sK0),sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f52,plain,
? [X0: $int,X1: $int,X2: heap] :
( ~ $less(length(X2),X1)
& ( sel(X2,X1) != sel(app(X2,X0),X1) ) ),
inference(rectify,[],[f46]) ).
tff(f46,plain,
? [X1: $int,X0: $int,X2: heap] :
( ~ $less(length(X2),X0)
& ( sel(X2,X0) != sel(app(X2,X1),X0) ) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,plain,
~ ! [X2: heap,X0: $int,X1: $int] :
( ( sel(X2,X0) = sel(app(X2,X1),X0) )
| $less(length(X2),X0) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X0: $int,X2: $int,X1: heap] :
( ( sel(app(X1,X2),X0) = sel(X1,X0) )
| $less(length(X1),X0) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X0: $int,X2: $int,X1: heap] :
( ( sel(app(X1,X2),X0) = sel(X1,X0) )
| $less(length(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_4) ).
tff(f107,plain,
$less(sK1,$sum(1,length(sK2))),
inference(forward_demodulation,[],[f104,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f104,plain,
$less(sK1,$sum(length(sK2),1)),
inference(unit_resulting_resolution,[],[f69,f26]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
tff(f69,plain,
~ $less(length(sK2),sK1),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT069=1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:19:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 % (15639)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.49/0.58 % (15656)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.82/0.59 % (15648)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.82/0.60 % (15635)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.82/0.60 % (15639)First to succeed.
% 1.82/0.60 % (15638)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.82/0.60 % (15638)Instruction limit reached!
% 1.82/0.60 % (15638)------------------------------
% 1.82/0.60 % (15638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (15638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (15638)Termination reason: Unknown
% 1.82/0.60 % (15638)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (15638)Memory used [KB]: 1023
% 1.82/0.60 % (15638)Time elapsed: 0.003 s
% 1.82/0.60 % (15638)Instructions burned: 2 (million)
% 1.82/0.60 % (15638)------------------------------
% 1.82/0.60 % (15638)------------------------------
% 1.82/0.60 % (15659)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 1.82/0.60 % (15639)Refutation found. Thanks to Tanya!
% 1.82/0.60 % SZS status Theorem for theBenchmark
% 1.82/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.60 % (15639)------------------------------
% 1.82/0.60 % (15639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (15639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (15639)Termination reason: Refutation
% 1.82/0.60
% 1.82/0.60 % (15639)Memory used [KB]: 5756
% 1.82/0.60 % (15639)Time elapsed: 0.154 s
% 1.82/0.60 % (15639)Instructions burned: 17 (million)
% 1.82/0.60 % (15639)------------------------------
% 1.82/0.60 % (15639)------------------------------
% 1.82/0.60 % (15634)Success in time 0.252 s
%------------------------------------------------------------------------------