TSTP Solution File: DAT068_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT068_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 : n024.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 16:04:04 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 50 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 14 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 90 ( 25 atm; 16 fun; 14 num; 35 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 : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 37 !; 9 ?; 46 :)
% 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: heap ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: $int ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f103,plain,
$false,
inference(subsumption_resolution,[],[f102,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f102,plain,
$less(length(sK0),length(sK0)),
inference(evaluation,[],[f101]) ).
tff(f101,plain,
( $less(length(sK0),length(sK0))
| ~ $less(0,1) ),
inference(superposition,[],[f96,f19]) ).
tff(f19,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f96,plain,
! [X3: $int] :
( $less($sum(length(sK0),X3),length(sK0))
| ~ $less(X3,1) ),
inference(superposition,[],[f91,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f91,plain,
! [X0: $int] :
( $less($sum(X0,length(sK0)),length(sK0))
| ~ $less(X0,1) ),
inference(resolution,[],[f90,f25]) ).
tff(f25,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f90,plain,
! [X0: $int] :
( ~ $less(X0,$sum(1,length(sK0)))
| $less(X0,length(sK0)) ),
inference(resolution,[],[f87,f23]) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f87,plain,
$less($sum(1,length(sK0)),length(sK0)),
inference(backward_demodulation,[],[f66,f85]) ).
tff(f85,plain,
$sum(1,length(sK0)) = sK1,
inference(trivial_inequality_removal,[],[f84]) ).
tff(f84,plain,
( ( sel(sK0,sK1) != sel(sK0,sK1) )
| ( $sum(1,length(sK0)) = sK1 ) ),
inference(superposition,[],[f67,f74]) ).
tff(f74,plain,
! [X2: heap,X0: $int,X1: $int] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ( $sum(1,length(X2)) = X1 ) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $int,X1: $int,X2: heap] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ( $sum(1,length(X2)) = X1 ) ),
inference(rectify,[],[f43]) ).
tff(f43,plain,
! [X2: $int,X1: $int,X0: heap] :
( ( sel(app(X0,X2),X1) = sel(X0,X1) )
| ( $sum(1,length(X0)) = X1 ) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: heap,X1: $int,X2: $int] :
( ( $sum(1,length(X0)) != X1 )
=> ( sel(app(X0,X2),X1) = sel(X0,X1) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: heap,X0: $int,X2: $int] :
( ( $sum(1,length(X1)) != X0 )
=> ( sel(app(X1,X2),X0) = sel(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_3) ).
tff(f67,plain,
sel(sK0,sK1) != sel(app(sK0,sK2),sK1),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
( ( sel(sK0,sK1) != sel(app(sK0,sK2),sK1) )
& $less(sK1,length(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f51,f52]) ).
tff(f52,plain,
( ? [X0: heap,X1: $int,X2: $int] :
( ( sel(app(X0,X2),X1) != sel(X0,X1) )
& $less(X1,length(X0)) )
=> ( ( sel(sK0,sK1) != sel(app(sK0,sK2),sK1) )
& $less(sK1,length(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f51,plain,
? [X0: heap,X1: $int,X2: $int] :
( ( sel(app(X0,X2),X1) != sel(X0,X1) )
& $less(X1,length(X0)) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
? [X0: heap,X2: $int,X1: $int] :
( ( sel(X0,X2) != sel(app(X0,X1),X2) )
& $less(X2,length(X0)) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
~ ! [X1: $int,X0: heap,X2: $int] :
( ~ $less(X2,length(X0))
| ( sel(X0,X2) = sel(app(X0,X1),X2) ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X1: heap,X2: $int,X0: $int] :
( ( sel(app(X1,X2),X0) = sel(X1,X0) )
| ~ $less(X0,length(X1)) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X1: heap,X2: $int,X0: $int] :
( ( sel(app(X1,X2),X0) = sel(X1,X0) )
| ~ $less(X0,length(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_3) ).
tff(f66,plain,
$less(sK1,length(sK0)),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : DAT068=1 : TPTP v8.1.0. Released v5.5.0.
% 0.09/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 20:22:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (12786)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)
% 0.20/0.52 % (12786)Instruction limit reached!
% 0.20/0.52 % (12786)------------------------------
% 0.20/0.52 % (12786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12786)Termination reason: Unknown
% 0.20/0.52 % (12786)Termination phase: Including theory axioms
% 0.20/0.52
% 0.20/0.52 % (12786)Memory used [KB]: 895
% 0.20/0.52 % (12786)Time elapsed: 0.002 s
% 0.20/0.52 % (12786)Instructions burned: 2 (million)
% 0.20/0.52 % (12786)------------------------------
% 0.20/0.52 % (12786)------------------------------
% 0.20/0.52 % (12806)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (12784)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52 % (12812)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.52 % (12784)First to succeed.
% 0.20/0.52 % (12790)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.52 % (12803)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (12808)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53 % (12788)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (12797)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (12792)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (12785)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (12800)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (12787)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)
% 0.20/0.53 % (12792)Instruction limit reached!
% 0.20/0.53 % (12792)------------------------------
% 0.20/0.53 % (12792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12792)Termination reason: Unknown
% 0.20/0.53 % (12792)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (12792)Memory used [KB]: 895
% 0.20/0.53 % (12792)Time elapsed: 0.004 s
% 0.20/0.53 % (12792)Instructions burned: 2 (million)
% 0.20/0.53 % (12792)------------------------------
% 0.20/0.53 % (12792)------------------------------
% 0.20/0.53 % (12809)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (12793)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.54 % (12802)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (12802)Instruction limit reached!
% 0.20/0.54 % (12802)------------------------------
% 0.20/0.54 % (12802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12802)Termination reason: Unknown
% 0.20/0.54 % (12802)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (12802)Memory used [KB]: 1023
% 0.20/0.54 % (12802)Time elapsed: 0.002 s
% 0.20/0.54 % (12802)Instructions burned: 2 (million)
% 0.20/0.54 % (12802)------------------------------
% 0.20/0.54 % (12802)------------------------------
% 0.20/0.54 % (12785)Instruction limit reached!
% 0.20/0.54 % (12785)------------------------------
% 0.20/0.54 % (12785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12785)Termination reason: Unknown
% 0.20/0.54 % (12785)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (12785)Memory used [KB]: 5628
% 0.20/0.54 % (12785)Time elapsed: 0.129 s
% 0.20/0.54 % (12785)Instructions burned: 8 (million)
% 0.20/0.54 % (12785)------------------------------
% 0.20/0.54 % (12785)------------------------------
% 0.20/0.54 % (12789)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.54 % (12810)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (12811)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (12783)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)
% 0.20/0.54 % (12801)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (12805)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54 % (12798)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (12798)Instruction limit reached!
% 0.20/0.54 % (12798)------------------------------
% 0.20/0.54 % (12798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12798)Termination reason: Unknown
% 0.20/0.54 % (12798)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (12798)Memory used [KB]: 5500
% 0.20/0.54 % (12798)Time elapsed: 0.004 s
% 0.20/0.54 % (12798)Instructions burned: 3 (million)
% 0.20/0.54 % (12798)------------------------------
% 0.20/0.54 % (12798)------------------------------
% 0.20/0.54 % (12784)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (12784)------------------------------
% 0.20/0.54 % (12784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12784)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (12784)Memory used [KB]: 5500
% 0.20/0.54 % (12784)Time elapsed: 0.089 s
% 0.20/0.54 % (12784)Instructions burned: 3 (million)
% 0.20/0.54 % (12784)------------------------------
% 0.20/0.54 % (12784)------------------------------
% 0.20/0.54 % (12782)Success in time 0.184 s
%------------------------------------------------------------------------------