TSTP Solution File: DAT068_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n029.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 16:04:48 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 38 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 48 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 14 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 82 ( 25 atm; 13 fun; 11 num; 33 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 : 43 ( 34 !; 9 ?; 43 :)
% 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(f236,plain,
$false,
inference(subsumption_resolution,[],[f235,f92]) ).
tff(f92,plain,
~ $less(length(sK2),sK1),
inference(resolution,[],[f90,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f90,plain,
! [X0: $int] :
( $less(X0,length(sK2))
| ~ $less(X0,sK1) ),
inference(resolution,[],[f23,f63]) ).
tff(f63,plain,
$less(sK1,length(sK2)),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
( $less(sK1,length(sK2))
& ( sel(app(sK2,sK0),sK1) != sel(sK2,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f48,f49]) ).
tff(f49,plain,
( ? [X0: $int,X1: $int,X2: heap] :
( $less(X1,length(X2))
& ( sel(X2,X1) != sel(app(X2,X0),X1) ) )
=> ( $less(sK1,length(sK2))
& ( sel(app(sK2,sK0),sK1) != sel(sK2,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f48,plain,
? [X0: $int,X1: $int,X2: heap] :
( $less(X1,length(X2))
& ( sel(X2,X1) != sel(app(X2,X0),X1) ) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
? [X1: $int,X2: $int,X0: heap] :
( $less(X2,length(X0))
& ( sel(app(X0,X1),X2) != sel(X0,X2) ) ),
inference(ennf_transformation,[],[f33]) ).
tff(f33,plain,
~ ! [X2: $int,X0: heap,X1: $int] :
( ( sel(app(X0,X1),X2) = sel(X0,X2) )
| ~ $less(X2,length(X0)) ),
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/sandbox2/benchmark/theBenchmark.p',th_3) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f235,plain,
$less(length(sK2),sK1),
inference(evaluation,[],[f233]) ).
tff(f233,plain,
( ~ $less(0,1)
| $less(length(sK2),sK1) ),
inference(superposition,[],[f203,f19]) ).
tff(f19,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f203,plain,
! [X0: $int] :
( $less($sum(length(sK2),X0),sK1)
| ~ $less(X0,1) ),
inference(superposition,[],[f169,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f169,plain,
! [X2: $int] :
( $less($sum(X2,length(sK2)),sK1)
| ~ $less(X2,1) ),
inference(superposition,[],[f25,f166]) ).
tff(f166,plain,
sK1 = $sum(1,length(sK2)),
inference(trivial_inequality_removal,[],[f164]) ).
tff(f164,plain,
( ( sel(sK2,sK1) != sel(sK2,sK1) )
| ( sK1 = $sum(1,length(sK2)) ) ),
inference(superposition,[],[f62,f60]) ).
tff(f60,plain,
! [X2: $int,X0: heap,X1: $int] :
( ( sel(app(X0,X1),X2) = sel(X0,X2) )
| ( $sum(1,length(X0)) = X2 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: heap,X1: $int,X2: $int] :
( ( $sum(1,length(X0)) = X2 )
| ( sel(app(X0,X1),X2) = sel(X0,X2) ) ),
inference(rectify,[],[f41]) ).
tff(f41,plain,
! [X1: heap,X2: $int,X0: $int] :
( ( $sum(1,length(X1)) = X0 )
| ( sel(app(X1,X2),X0) = sel(X1,X0) ) ),
inference(ennf_transformation,[],[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/sandbox2/benchmark/theBenchmark.p',ax_3) ).
tff(f62,plain,
sel(app(sK2,sK0),sK1) != sel(sK2,sK1),
inference(cnf_transformation,[],[f50]) ).
tff(f25,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT068=1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.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 20:30:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (1290)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.50 % (1299)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (1318)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (1293)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (1295)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (1292)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (1290)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.51 % (1290)Terminated due to inappropriate strategy.
% 0.21/0.51 % (1290)------------------------------
% 0.21/0.51 % (1290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (1290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (1290)Termination reason: Inappropriate
% 0.21/0.51
% 0.21/0.51 % (1290)Memory used [KB]: 895
% 0.21/0.51 % (1290)Time elapsed: 0.004 s
% 0.21/0.51 % (1290)Instructions burned: 2 (million)
% 0.21/0.51 % (1290)------------------------------
% 0.21/0.51 % (1290)------------------------------
% 0.21/0.52 % (1299)Instruction limit reached!
% 0.21/0.52 % (1299)------------------------------
% 0.21/0.52 % (1299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (1299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (1299)Termination reason: Unknown
% 0.21/0.52 % (1299)Termination phase: Preprocessing 3
% 0.21/0.52
% 0.21/0.52 % (1299)Memory used [KB]: 895
% 0.21/0.52 % (1299)Time elapsed: 0.003 s
% 0.21/0.52 % (1299)Instructions burned: 2 (million)
% 0.21/0.52 % (1299)------------------------------
% 0.21/0.52 % (1299)------------------------------
% 0.21/0.52 % (1309)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (1302)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)
% 0.21/0.52 % (1294)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (1300)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (1301)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (1316)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (1311)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)
% 0.21/0.53 % (1308)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.53 % (1298)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (1293)First to succeed.
% 0.21/0.53 % (1308)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53 % (1308)Terminated due to inappropriate strategy.
% 0.21/0.53 % (1308)------------------------------
% 0.21/0.53 % (1308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (1308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (1308)Termination reason: Inappropriate
% 0.21/0.53
% 0.21/0.53 % (1308)Memory used [KB]: 895
% 0.21/0.53 % (1308)Time elapsed: 0.002 s
% 0.21/0.53 % (1308)Instructions burned: 2 (million)
% 0.21/0.53 % (1308)------------------------------
% 0.21/0.53 % (1308)------------------------------
% 0.21/0.53 % (1293)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (1293)------------------------------
% 0.21/0.53 % (1293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (1293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (1293)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (1293)Memory used [KB]: 1151
% 0.21/0.53 % (1293)Time elapsed: 0.116 s
% 0.21/0.53 % (1293)Instructions burned: 12 (million)
% 0.21/0.53 % (1293)------------------------------
% 0.21/0.53 % (1293)------------------------------
% 0.21/0.53 % (1288)Success in time 0.17 s
%------------------------------------------------------------------------------