TSTP Solution File: DAT074_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT074_1 : TPTP v8.1.0. Released v6.1.0.
% 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 : 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 16:04:49 EDT 2022
% Result : Theorem 1.89s 0.60s
% Output : Refutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 42 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 103 ( 29 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 110 ( 37 ~; 49 |; 12 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 170 ( 59 atm; 6 fun; 40 num; 65 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 11 >; 14 *; 0 +; 0 <<)
% Number of predicates : 8 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 73 ( 73 !; 0 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_2,type,
init: $int > array ).
tff(func_def_3,type,
max: ( array * $int ) > $int ).
tff(func_def_5,type,
rev: ( array * $int ) > array ).
tff(func_def_10,type,
sK0: ( array * array ) > $int ).
tff(func_def_11,type,
sK1: ( $int * array * array ) > $int ).
tff(func_def_12,type,
sK2: ( $int * $int * array ) > $int ).
tff(pred_def_4,type,
sorted: ( array * $int ) > $o ).
tff(pred_def_6,type,
inRange: ( array * $int * $int ) > $o ).
tff(pred_def_7,type,
distinct: ( array * $int ) > $o ).
tff(f344,plain,
$false,
inference(evaluation,[],[f336]) ).
tff(f336,plain,
( $less(1,0)
| ( 0 = 1 ) ),
inference(resolution,[],[f325,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f325,plain,
! [X5: $int] :
( $less(1,X5)
| $less(X5,0)
| ( 1 = X5 ) ),
inference(evaluation,[],[f311]) ).
tff(f311,plain,
! [X5: $int] :
( $less(1,0)
| $less(X5,0)
| $less(1,X5)
| ( 1 = X5 ) ),
inference(resolution,[],[f225,f157]) ).
tff(f157,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f85,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f85,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f26,f22]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f225,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,$sum(X2,1))
| $less(X2,X1)
| $less(X1,0)
| $less(X0,0)
| ( X0 = X1 ) ),
inference(resolution,[],[f222,f26]) ).
tff(f222,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ $less(X2,X3)
| ( X1 = X2 )
| $less(X1,0)
| $less(X2,0)
| ~ $less(X1,X3) ),
inference(subsumption_resolution,[],[f221,f63]) ).
tff(f63,plain,
! [X0: $int,X1: $int] : ( read(init(X0),X1) = X0 ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: $int] : ( read(init(X0),X1) = X0 ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: $int,X1: $int] : ( read(init(X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f221,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( read(init(X0),X2) != X0 )
| ~ $less(X1,X3)
| ( X1 = X2 )
| $less(X1,0)
| $less(X2,0)
| ~ $less(X2,X3) ),
inference(forward_demodulation,[],[f220,f63]) ).
tff(f220,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less(X1,0)
| ~ $less(X2,X3)
| ~ $less(X1,X3)
| $less(X2,0)
| ( X1 = X2 )
| ( read(init(X0),X2) != read(init(X0),X1) ) ),
inference(resolution,[],[f60,f59]) ).
tff(f59,plain,
! [X0: $int,X1: $int] : distinct(init(X1),X0),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: $int,X1: $int] : distinct(init(X1),X0),
inference(rectify,[],[f31]) ).
tff(f31,plain,
! [X1: $int,X0: $int] : distinct(init(X0),X1),
inference(flattening,[],[f30]) ).
tff(f30,plain,
~ ~ ! [X1: $int,X0: $int] : distinct(init(X0),X1),
inference(rectify,[],[f11]) ).
tff(f11,negated_conjecture,
~ ~ ! [X5: $int,X1: $int] : distinct(init(X5),X1),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
~ ! [X5: $int,X1: $int] : distinct(init(X5),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
tff(f60,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ~ distinct(X0,X1)
| ( read(X0,X3) != read(X0,X2) )
| ( X2 = X3 )
| $less(X2,0)
| ~ $less(X3,X1)
| $less(X3,0)
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: array,X1: $int] :
( ! [X2: $int,X3: $int] :
( $less(X2,0)
| $less(X3,0)
| ( X2 = X3 )
| ~ $less(X3,X1)
| ~ $less(X2,X1)
| ( read(X0,X3) != read(X0,X2) ) )
| ~ distinct(X0,X1) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
! [X1: array,X0: $int] :
( ! [X2: $int,X3: $int] :
( $less(X2,0)
| $less(X3,0)
| ( X2 = X3 )
| ~ $less(X3,X0)
| ~ $less(X2,X0)
| ( read(X1,X3) != read(X1,X2) ) )
| ~ distinct(X1,X0) ),
inference(flattening,[],[f41]) ).
tff(f41,plain,
! [X0: $int,X1: array] :
( ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( read(X1,X3) != read(X1,X2) )
| $less(X3,0)
| ~ $less(X2,X0)
| $less(X2,0)
| ~ $less(X3,X0) )
| ~ distinct(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: $int,X1: array] :
( distinct(X1,X0)
=> ! [X2: $int,X3: $int] :
( ( ~ $less(X3,0)
& $less(X2,X0)
& ~ $less(X2,0)
& $less(X3,X0) )
=> ( ( read(X1,X3) = read(X1,X2) )
=> ( X2 = X3 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
tff(f36,plain,
! [X0: $int,X1: array] :
( ! [X2: $int,X3: $int] :
( ( ~ $less(X3,0)
& $less(X2,X0)
& ~ $less(X2,0)
& $less(X3,X0) )
=> ( ( read(X1,X3) = read(X1,X2) )
=> ( X2 = X3 ) ) )
<=> distinct(X1,X0) ),
inference(rectify,[],[f15]) ).
tff(f15,plain,
! [X5: $int,X0: array] :
( distinct(X0,X5)
<=> ! [X3: $int,X1: $int] :
( ( $less(X3,X5)
& $less(X1,X5)
& ~ $less(X1,0)
& ~ $less(X3,0) )
=> ( ( read(X0,X3) = read(X0,X1) )
=> ( X1 = X3 ) ) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X5: $int,X0: array] :
( distinct(X0,X5)
<=> ! [X3: $int,X1: $int] :
( ( $greater(X5,X3)
& $greater(X5,X1)
& $greatereq(X1,0)
& $greatereq(X3,0) )
=> ( ( read(X0,X3) = read(X0,X1) )
=> ( X1 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT074=1 : TPTP v8.1.0. Released v6.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % 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 :
% 0.19/0.55 % (15682)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)
% 0.19/0.55 % (15681)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)
% 0.19/0.56 % (15690)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)
% 0.19/0.56 % (15683)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (15674)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 % (15674)Instruction limit reached!
% 0.19/0.56 % (15674)------------------------------
% 0.19/0.56 % (15674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (15691)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.57 % (15689)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)
% 0.19/0.57 % (15673)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)
% 0.19/0.57 % (15674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (15674)Termination reason: Unknown
% 0.19/0.57 % (15674)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (15674)Memory used [KB]: 5500
% 0.19/0.57 % (15674)Time elapsed: 0.134 s
% 0.19/0.57 % (15674)Instructions burned: 8 (million)
% 0.19/0.57 % (15674)------------------------------
% 0.19/0.57 % (15674)------------------------------
% 0.19/0.57 % (15675)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (15673)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.57 % (15673)Terminated due to inappropriate strategy.
% 0.19/0.57 % (15673)------------------------------
% 0.19/0.57 % (15673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (15673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (15673)Termination reason: Inappropriate
% 0.19/0.57
% 0.19/0.57 % (15673)Memory used [KB]: 895
% 0.19/0.57 % (15673)Time elapsed: 0.002 s
% 0.19/0.57 % (15673)Instructions burned: 2 (million)
% 0.19/0.57 % (15673)------------------------------
% 0.19/0.57 % (15673)------------------------------
% 0.19/0.57 % (15675)Instruction limit reached!
% 0.19/0.57 % (15675)------------------------------
% 0.19/0.57 % (15675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (15675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (15675)Termination reason: Unknown
% 0.19/0.57 % (15675)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (15675)Memory used [KB]: 895
% 0.19/0.57 % (15675)Time elapsed: 0.003 s
% 0.19/0.57 % (15675)Instructions burned: 3 (million)
% 0.19/0.57 % (15675)------------------------------
% 0.19/0.57 % (15675)------------------------------
% 1.78/0.58 % (15692)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.78/0.58 % (15671)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.78/0.58 % (15694)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)
% 1.78/0.59 % (15676)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)
% 1.78/0.59 % (15688)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.78/0.59 % (15686)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)
% 1.78/0.59 % (15695)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.78/0.59 % (15684)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.78/0.59 % (15684)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.78/0.59 % (15684)Terminated due to inappropriate strategy.
% 1.78/0.59 % (15684)------------------------------
% 1.78/0.59 % (15684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (15684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (15684)Termination reason: Inappropriate
% 1.78/0.59
% 1.78/0.59 % (15684)Memory used [KB]: 895
% 1.78/0.59 % (15684)Time elapsed: 0.002 s
% 1.78/0.59 % (15684)Instructions burned: 3 (million)
% 1.78/0.59 % (15684)------------------------------
% 1.78/0.59 % (15684)------------------------------
% 1.78/0.59 % (15696)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.78/0.59 % (15679)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.78/0.59 % (15672)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.78/0.60 % (15668)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)
% 1.78/0.60 % (15687)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.89/0.60 % (15689)First to succeed.
% 1.89/0.60 % (15678)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)
% 1.89/0.60 % (15690)Also succeeded, but the first one will report.
% 1.89/0.60 % (15689)Refutation found. Thanks to Tanya!
% 1.89/0.60 % SZS status Theorem for theBenchmark
% 1.89/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.60 % (15689)------------------------------
% 1.89/0.60 % (15689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (15689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (15689)Termination reason: Refutation
% 1.89/0.60
% 1.89/0.60 % (15689)Memory used [KB]: 1151
% 1.89/0.60 % (15689)Time elapsed: 0.164 s
% 1.89/0.60 % (15689)Instructions burned: 22 (million)
% 1.89/0.60 % (15689)------------------------------
% 1.89/0.60 % (15689)------------------------------
% 1.89/0.60 % (15666)Success in time 0.248 s
%------------------------------------------------------------------------------