TSTP Solution File: DAT076_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT076_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_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 16:04:06 EDT 2022
% Result : Theorem 1.43s 0.53s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 40 ( 4 unt; 14 typ; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 93 ( 31 ~; 13 |; 36 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 116 ( 58 atm; 0 fun; 22 num; 36 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 29 ( 13 >; 16 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 61 ( 53 !; 8 ?; 61 :)
% 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: ( $int * $int * array ) > $int ).
tff(func_def_11,type,
sK1: ( array * $int ) > $int ).
tff(func_def_12,type,
sK2: ( array * $int ) > $int ).
tff(func_def_13,type,
sK3: ( array * array ) > $int ).
tff(func_def_14,type,
sK4: ( array * $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(f98,plain,
$false,
inference(subsumption_resolution,[],[f95,f90]) ).
tff(f90,plain,
! [X0: array] : sorted(X0,0),
inference(resolution,[],[f89,f53]) ).
tff(f53,plain,
! [X0: array,X1: $int] :
( ~ $less(sK2(X0,X1),0)
| sorted(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ( $less(sK2(X0,X1),X1)
& $less(sK2(X0,X1),sK1(X0,X1))
& ~ $less(sK2(X0,X1),0)
& $less(read(X0,sK1(X0,X1)),read(X0,sK2(X0,X1)))
& $less(sK1(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f37,f38]) ).
tff(f38,plain,
! [X0: array,X1: $int] :
( ? [X2: $int,X3: $int] :
( $less(X3,X1)
& $less(X3,X2)
& ~ $less(X3,0)
& $less(read(X0,X2),read(X0,X3))
& $less(X2,X1) )
=> ( $less(sK2(X0,X1),X1)
& $less(sK2(X0,X1),sK1(X0,X1))
& ~ $less(sK2(X0,X1),0)
& $less(read(X0,sK1(X0,X1)),read(X0,sK2(X0,X1)))
& $less(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ? [X2: $int,X3: $int] :
( $less(X3,X1)
& $less(X3,X2)
& ~ $less(X3,0)
& $less(read(X0,X2),read(X0,X3))
& $less(X2,X1) ) ),
inference(rectify,[],[f33]) ).
tff(f33,plain,
! [X1: array,X0: $int] :
( sorted(X1,X0)
| ? [X2: $int,X3: $int] :
( $less(X3,X0)
& $less(X3,X2)
& ~ $less(X3,0)
& $less(read(X1,X2),read(X1,X3))
& $less(X2,X0) ) ),
inference(flattening,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: array] :
( sorted(X1,X0)
| ? [X3: $int,X2: $int] :
( $less(read(X1,X2),read(X1,X3))
& $less(X2,X0)
& $less(X3,X0)
& ~ $less(X3,0)
& $less(X3,X2) ) ),
inference(ennf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: $int,X1: array] :
( ! [X3: $int,X2: $int] :
( ( $less(X2,X0)
& $less(X3,X0)
& ~ $less(X3,0)
& $less(X3,X2) )
=> ~ $less(read(X1,X2),read(X1,X3)) )
=> sorted(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
tff(f20,plain,
! [X0: $int,X1: array] :
( sorted(X1,X0)
<=> ! [X3: $int,X2: $int] :
( ( $less(X2,X0)
& $less(X3,X0)
& ~ $less(X3,0)
& $less(X3,X2) )
=> ~ $less(read(X1,X2),read(X1,X3)) ) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X5: $int,X0: array] :
( sorted(X0,X5)
<=> ! [X3: $int,X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,X5)
& $less(X1,X3)
& $less(X3,X5) )
=> ~ $less(read(X0,X3),read(X0,X1)) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
! [X5: $int,X0: array] :
( sorted(X0,X5)
<=> ! [X3: $int,X1: $int] :
( ( $lesseq(0,X1)
& $less(X1,X5)
& $less(X1,X3)
& $less(X3,X5) )
=> $lesseq(read(X0,X1),read(X0,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sorted1) ).
tff(f89,plain,
! [X0: array] : $less(sK2(X0,0),0),
inference(subsumption_resolution,[],[f86,f55]) ).
tff(f55,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| $less(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
tff(f86,plain,
! [X0: array] :
( ~ sorted(X0,0)
| $less(sK2(X0,0),0) ),
inference(resolution,[],[f85,f62]) ).
tff(f62,plain,
! [X0: $int,X1: array] :
( ~ sorted(rev(X1,X0),X0)
| ~ sorted(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: array] :
( ~ sorted(rev(X1,X0),X0)
| ~ sorted(X1,X0) ),
inference(rectify,[],[f27]) ).
tff(f27,plain,
! [X1: $int,X0: array] :
( ~ sorted(rev(X0,X1),X1)
| ~ sorted(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X1: $int,X0: array] :
( sorted(X0,X1)
=> ~ sorted(rev(X0,X1),X1) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
~ ~ ! [X1: $int,X0: array] :
( sorted(X0,X1)
=> ~ sorted(rev(X0,X1),X1) ),
inference(rectify,[],[f11]) ).
tff(f11,negated_conjecture,
~ ~ ! [X0: array,X5: $int] :
( sorted(X0,X5)
=> ~ sorted(rev(X0,X5),X5) ),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
~ ! [X0: array,X5: $int] :
( sorted(X0,X5)
=> ~ sorted(rev(X0,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
tff(f85,plain,
! [X0: array] :
( sorted(rev(X0,0),0)
| $less(sK2(X0,0),0) ),
inference(resolution,[],[f73,f53]) ).
tff(f73,plain,
! [X2: array,X3: $int] :
( $less(sK2(rev(X2,X3),X3),X3)
| $less(sK2(X2,X3),X3) ),
inference(resolution,[],[f67,f55]) ).
tff(f67,plain,
! [X0: array,X1: $int] :
( ~ sorted(X0,X1)
| $less(sK2(rev(X0,X1),X1),X1) ),
inference(resolution,[],[f55,f62]) ).
tff(f95,plain,
! [X0: array] : ~ sorted(X0,0),
inference(resolution,[],[f90,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT076=1 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:19:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (19055)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)
% 0.20/0.51 % (19048)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.30/0.51 % (19041)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)
% 1.30/0.52 % (19047)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.30/0.52 % (19064)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.30/0.52 % (19052)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)
% 1.30/0.52 % (19055)First to succeed.
% 1.30/0.52 % (19040)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)
% 1.30/0.52 % (19040)Instruction limit reached!
% 1.30/0.52 % (19040)------------------------------
% 1.30/0.52 % (19040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (19040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (19040)Termination reason: Unknown
% 1.30/0.52 % (19040)Termination phase: Unused predicate definition removal
% 1.30/0.52
% 1.30/0.52 % (19040)Memory used [KB]: 895
% 1.30/0.52 % (19040)Time elapsed: 0.002 s
% 1.30/0.52 % (19040)Instructions burned: 2 (million)
% 1.30/0.52 % (19040)------------------------------
% 1.30/0.52 % (19040)------------------------------
% 1.30/0.52 % (19059)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)
% 1.30/0.53 % (19058)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)
% 1.30/0.53 % (19042)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)
% 1.30/0.53 % (19044)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)
% 1.30/0.53 % (19048)Instruction limit reached!
% 1.30/0.53 % (19048)------------------------------
% 1.30/0.53 % (19048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (19038)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)
% 1.30/0.53 % (19048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (19048)Termination reason: Unknown
% 1.30/0.53 % (19048)Termination phase: Saturation
% 1.30/0.53
% 1.30/0.53 % (19048)Memory used [KB]: 1023
% 1.30/0.53 % (19048)Time elapsed: 0.005 s
% 1.30/0.53 % (19048)Instructions burned: 4 (million)
% 1.30/0.53 % (19048)------------------------------
% 1.30/0.53 % (19048)------------------------------
% 1.30/0.53 % (19039)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)
% 1.30/0.53 % (19066)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)
% 1.30/0.53 % (19038)Refutation not found, incomplete strategy% (19038)------------------------------
% 1.30/0.53 % (19038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (19038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (19038)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53
% 1.30/0.53 % (19038)Memory used [KB]: 5500
% 1.30/0.53 % (19038)Time elapsed: 0.124 s
% 1.30/0.53 % (19038)Instructions burned: 4 (million)
% 1.30/0.53 % (19038)------------------------------
% 1.30/0.53 % (19038)------------------------------
% 1.30/0.53 % (19049)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.53 % (19049)Instruction limit reached!
% 1.30/0.53 % (19049)------------------------------
% 1.30/0.53 % (19049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (19049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (19049)Termination reason: Unknown
% 1.30/0.53 % (19049)Termination phase: Property scanning
% 1.30/0.53
% 1.30/0.53 % (19049)Memory used [KB]: 895
% 1.30/0.53 % (19049)Time elapsed: 0.003 s
% 1.30/0.53 % (19049)Instructions burned: 2 (million)
% 1.30/0.53 % (19049)------------------------------
% 1.30/0.53 % (19049)------------------------------
% 1.43/0.53 % (19055)Refutation found. Thanks to Tanya!
% 1.43/0.53 % SZS status Theorem for theBenchmark
% 1.43/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.53 % (19055)------------------------------
% 1.43/0.53 % (19055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (19055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (19055)Termination reason: Refutation
% 1.43/0.53
% 1.43/0.53 % (19055)Memory used [KB]: 5500
% 1.43/0.53 % (19055)Time elapsed: 0.123 s
% 1.43/0.53 % (19055)Instructions burned: 4 (million)
% 1.43/0.53 % (19055)------------------------------
% 1.43/0.53 % (19055)------------------------------
% 1.43/0.53 % (19036)Success in time 0.179 s
%------------------------------------------------------------------------------