TSTP Solution File: DAT007_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT007_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n016.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 16:04:36 EDT 2022
% Result : Theorem 1.80s 0.65s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 62 ( 39 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 14 ~; 25 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 176 ( 22 atm; 0 fun; 119 num; 35 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 4 usr; 11 con; 0-3 aty)
% Number of variables : 53 ( 46 !; 7 ?; 53 :)
% 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_15,type,
sK0: array ).
tff(func_def_16,type,
sK1: array ).
tff(f401,plain,
$false,
inference(evaluation,[],[f398]) ).
tff(f398,plain,
( ( 33 = 30 )
| $less(33,30)
| ~ $less(33,40) ),
inference(superposition,[],[f59,f394]) ).
tff(f394,plain,
33 = read(sK1,3),
inference(evaluation,[],[f391]) ).
tff(f391,plain,
( ( 3 = 5 )
| ( 3 = 4 )
| ( 33 = read(sK1,3) ) ),
inference(superposition,[],[f28,f361]) ).
tff(f361,plain,
! [X1: $int] :
( ( read(write(sK0,3,33),X1) = read(sK1,X1) )
| ( 5 = X1 )
| ( 4 = X1 ) ),
inference(duplicate_literal_removal,[],[f357]) ).
tff(f357,plain,
! [X1: $int] :
( ( 5 = X1 )
| ( 4 = X1 )
| ( 4 = X1 )
| ( read(write(sK0,3,33),X1) = read(sK1,X1) ) ),
inference(superposition,[],[f297,f25]) ).
tff(f25,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(X0,X3) = read(write(X0,X2,X1),X3) )
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( X2 = X3 )
| ( read(X0,X3) = read(write(X0,X2,X1),X3) ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
! [X1: array,X0: $int,X3: $int,X2: $int] :
( ( X2 = X3 )
| ( read(write(X1,X3,X0),X2) = read(X1,X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X6: $int,X3: array,X5: $int,X4: $int] :
( ( X4 = X5 )
| ( read(write(X3,X4,X6),X5) = read(X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f297,plain,
! [X0: $int] :
( ( read(write(write(sK0,3,33),4,444),X0) = read(sK1,X0) )
| ( 5 = X0 )
| ( 4 = X0 ) ),
inference(superposition,[],[f25,f239]) ).
tff(f239,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(write(write(write(sK0,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) ),
inference(superposition,[],[f25,f26]) ).
tff(f26,plain,
write(write(write(write(sK0,3,33),4,444),5,55),4,44) = sK1,
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ! [X2: $int] :
( ~ $less(read(sK1,X2),40)
| ~ $less(30,read(sK1,X2)) )
& ( write(write(write(write(sK0,3,33),4,444),5,55),4,44) = sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f20,f22]) ).
tff(f22,plain,
( ? [X0: array,X1: array] :
( ! [X2: $int] :
( ~ $less(read(X1,X2),40)
| ~ $less(30,read(X1,X2)) )
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 ) )
=> ( ! [X2: $int] :
( ~ $less(read(sK1,X2),40)
| ~ $less(30,read(sK1,X2)) )
& ( write(write(write(write(sK0,3,33),4,444),5,55),4,44) = sK1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: array,X1: array] :
( ! [X2: $int] :
( ~ $less(read(X1,X2),40)
| ~ $less(30,read(X1,X2)) )
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
~ ! [X0: array,X1: array] :
( ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 )
=> ? [X2: $int] :
( $less(30,read(X1,X2))
& $less(read(X1,X2),40) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X1: array,X0: array] :
( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
=> ? [X2: $int] :
( $less(30,read(X0,X2))
& $less(read(X0,X2),40) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X1: array,X0: array] :
( ( write(write(write(write(X1,3,33),4,444),5,55),4,44) = X0 )
=> ? [X2: $int] :
( $less(30,read(X0,X2))
& $less(read(X0,X2),40) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f28,plain,
! [X2: array,X0: $int,X1: $int] : ( read(write(X2,X0,X1),X0) = X1 ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: $int,X1: $int,X2: array] : ( read(write(X2,X0,X1),X0) = X1 ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X0: $int,X2: $int,X1: array] : ( read(write(X1,X0,X2),X0) = X2 ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: $int,X0: array,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f59,plain,
! [X0: $int] :
( $less(read(sK1,X0),30)
| ~ $less(read(sK1,X0),40)
| ( 30 = read(sK1,X0) ) ),
inference(resolution,[],[f12,f27]) ).
tff(f27,plain,
! [X2: $int] :
( ~ $less(30,read(sK1,X2))
| ~ $less(read(sK1,X2),40) ),
inference(cnf_transformation,[],[f23]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT007=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 20:38:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.53 % (26373)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.54 % (26391)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.18/0.54 % (26367)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.55 % (26384)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.18/0.55 % (26376)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.45/0.57 % (26365)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 (3000ds/37Mi)
% 1.80/0.58 % (26366)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.80/0.58 % (26378)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 (3000ds/75Mi)
% 1.80/0.58 % (26369)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.80/0.58 % (26369)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.80/0.58 % (26369)Terminated due to inappropriate strategy.
% 1.80/0.58 % (26369)------------------------------
% 1.80/0.58 % (26369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58 % (26369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58 % (26369)Termination reason: Inappropriate
% 1.80/0.58
% 1.80/0.58 % (26369)Memory used [KB]: 895
% 1.80/0.58 % (26369)Time elapsed: 0.002 s
% 1.80/0.58 % (26369)Instructions burned: 1 (million)
% 1.80/0.58 % (26369)------------------------------
% 1.80/0.58 % (26369)------------------------------
% 1.80/0.58 % (26389)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 (3000ds/68Mi)
% 1.80/0.58 % (26381)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.80/0.58 % (26371)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.80/0.58 % (26371)Instruction limit reached!
% 1.80/0.58 % (26371)------------------------------
% 1.80/0.58 % (26371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58 % (26371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58 % (26371)Termination reason: Unknown
% 1.80/0.58 % (26371)Termination phase: Property scanning
% 1.80/0.58
% 1.80/0.58 % (26371)Memory used [KB]: 895
% 1.80/0.58 % (26371)Time elapsed: 0.003 s
% 1.80/0.58 % (26371)Instructions burned: 2 (million)
% 1.80/0.58 % (26371)------------------------------
% 1.80/0.58 % (26371)------------------------------
% 1.80/0.58 % (26372)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 (3000ds/51Mi)
% 1.80/0.58 % (26374)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.80/0.59 % (26364)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.80/0.60 % (26370)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.80/0.60 % (26363)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 (3000ds/191324Mi)
% 1.80/0.60 % (26363)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.80/0.60 % (26363)Terminated due to inappropriate strategy.
% 1.80/0.60 % (26363)------------------------------
% 1.80/0.60 % (26363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (26363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (26363)Termination reason: Inappropriate
% 1.80/0.60
% 1.80/0.60 % (26363)Memory used [KB]: 895
% 1.80/0.60 % (26363)Time elapsed: 0.002 s
% 1.80/0.60 % (26363)------------------------------
% 1.80/0.60 % (26363)------------------------------
% 1.80/0.60 % (26368)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 (3000ds/48Mi)
% 1.80/0.61 % (26385)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 (3000ds/498Mi)
% 1.80/0.61 % (26386)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 (3000ds/467Mi)
% 1.80/0.61 % (26387)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.80/0.61 % (26392)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 (3000ds/355Mi)
% 1.80/0.62 % (26388)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.80/0.62 % (26375)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.80/0.62 % (26390)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 (3000ds/177Mi)
% 1.80/0.62 % (26379)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 (3000ds/99Mi)
% 1.80/0.62 % (26377)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 (3000ds/68Mi)
% 1.80/0.62 % (26370)Instruction limit reached!
% 1.80/0.62 % (26370)------------------------------
% 1.80/0.62 % (26370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (26370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (26370)Termination reason: Unknown
% 1.80/0.62 % (26370)Termination phase: Saturation
% 1.80/0.62
% 1.80/0.62 % (26370)Memory used [KB]: 5500
% 1.80/0.62 % (26370)Time elapsed: 0.175 s
% 1.80/0.62 % (26370)Instructions burned: 7 (million)
% 1.80/0.62 % (26370)------------------------------
% 1.80/0.62 % (26370)------------------------------
% 1.80/0.62 % (26382)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 (3000ds/100Mi)
% 1.80/0.63 % (26380)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.80/0.63 % (26380)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.80/0.63 % (26380)Terminated due to inappropriate strategy.
% 1.80/0.63 % (26380)------------------------------
% 1.80/0.63 % (26380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (26380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (26380)Termination reason: Inappropriate
% 1.80/0.63
% 1.80/0.63 % (26380)Memory used [KB]: 895
% 1.80/0.63 % (26380)Time elapsed: 0.002 s
% 1.80/0.63 % (26380)------------------------------
% 1.80/0.63 % (26380)------------------------------
% 1.80/0.63 % (26383)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 (3000ds/176Mi)
% 1.80/0.64 % (26367)Instruction limit reached!
% 1.80/0.64 % (26367)------------------------------
% 1.80/0.64 % (26367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.64 % (26373)Instruction limit reached!
% 1.80/0.64 % (26373)------------------------------
% 1.80/0.64 % (26373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.65 % (26365)First to succeed.
% 1.80/0.65 % (26373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.65 % (26373)Termination reason: Unknown
% 1.80/0.65 % (26373)Termination phase: Saturation
% 1.80/0.65
% 1.80/0.65 % (26373)Memory used [KB]: 6140
% 1.80/0.65 % (26373)Time elapsed: 0.230 s
% 1.80/0.65 % (26373)Instructions burned: 50 (million)
% 1.80/0.65 % (26373)------------------------------
% 1.80/0.65 % (26373)------------------------------
% 1.80/0.65 % (26367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.65 % (26367)Termination reason: Unknown
% 1.80/0.65 % (26367)Termination phase: Saturation
% 1.80/0.65
% 1.80/0.65 % (26367)Memory used [KB]: 6268
% 1.80/0.65 % (26367)Time elapsed: 0.229 s
% 1.80/0.65 % (26367)Instructions burned: 52 (million)
% 1.80/0.65 % (26367)------------------------------
% 1.80/0.65 % (26367)------------------------------
% 1.80/0.65 % (26365)Refutation found. Thanks to Tanya!
% 1.80/0.65 % SZS status Theorem for theBenchmark
% 1.80/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.65 % (26365)------------------------------
% 1.80/0.65 % (26365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.65 % (26365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.65 % (26365)Termination reason: Refutation
% 1.80/0.65
% 1.80/0.65 % (26365)Memory used [KB]: 1279
% 1.80/0.65 % (26365)Time elapsed: 0.225 s
% 1.80/0.65 % (26365)Instructions burned: 21 (million)
% 1.80/0.65 % (26365)------------------------------
% 1.80/0.65 % (26365)------------------------------
% 1.80/0.65 % (26362)Success in time 0.301 s
%------------------------------------------------------------------------------