TSTP Solution File: DAT015_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT015_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_uns --cores 0 -t %d %s
% Computer : n026.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 16:03:54 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 73 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 78 ( 30 ~; 33 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 173 ( 47 atm; 19 fun; 72 num; 35 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 3 usr; 9 con; 0-3 aty)
% Number of variables : 41 ( 35 !; 6 ?; 41 :)
% 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_10,type,
sK0: array ).
tff(f301,plain,
$false,
inference(evaluation,[],[f300]) ).
tff(f300,plain,
~ $less(0,5),
inference(subsumption_resolution,[],[f299,f78]) ).
tff(f78,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) ),
inference(resolution,[],[f12,f11]) ).
tff(f11,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X0,X1)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f299,plain,
( ~ $less(0,5)
| $less(5,0) ),
inference(cancellation,[],[f298]) ).
tff(f298,plain,
( ~ $less(20,25)
| $less(30,25) ),
inference(equality_resolution,[],[f297]) ).
tff(f297,plain,
! [X0: $int] :
( ( 25 != X0 )
| $less(30,X0)
| ~ $less(20,X0) ),
inference(cancellation,[],[f290]) ).
tff(f290,plain,
! [X0: $int] :
( ( 50 != $sum(X0,25) )
| $less(30,X0)
| ~ $less(20,X0) ),
inference(superposition,[],[f28,f205]) ).
tff(f205,plain,
! [X3: $int] :
( ( read(sK0,X3) = $sum(X3,25) )
| ~ $less(20,X3)
| $less(30,X3) ),
inference(cancellation,[],[f204]) ).
tff(f204,plain,
! [X3: $int] :
( $less(31,$sum(X3,1))
| ( read(sK0,X3) = $sum(X3,25) )
| ~ $less(20,X3) ),
inference(resolution,[],[f172,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
tff(f172,plain,
! [X8: $int] :
( ~ $less(X8,31)
| ~ $less(20,X8)
| ( $sum(X8,25) = read(sK0,X8) ) ),
inference(resolution,[],[f78,f57]) ).
tff(f57,plain,
! [X0: $int] :
( $less(X0,20)
| ~ $less(X0,31)
| ( read(sK0,X0) = $sum(X0,25) ) ),
inference(evaluation,[],[f55]) ).
tff(f55,plain,
! [X0: $int] :
( $less(X0,20)
| ~ $less(X0,$sum(30,1))
| ( read(sK0,X0) = $sum(X0,25) ) ),
inference(resolution,[],[f17,f29]) ).
tff(f29,plain,
! [X1: $int] :
( $less(30,X1)
| $less(X1,20)
| ( $sum(X1,25) = read(sK0,X1) ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ! [X1: $int] :
( $less(X1,20)
| ( $sum(X1,25) = read(sK0,X1) )
| $less(30,X1) )
& ! [X2: $int] : ( 50 != read(sK0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f24]) ).
tff(f24,plain,
( ? [X0: array] :
( ! [X1: $int] :
( $less(X1,20)
| ( read(X0,X1) = $sum(X1,25) )
| $less(30,X1) )
& ! [X2: $int] : ( read(X0,X2) != 50 ) )
=> ( ! [X1: $int] :
( $less(X1,20)
| ( $sum(X1,25) = read(sK0,X1) )
| $less(30,X1) )
& ! [X2: $int] : ( 50 != read(sK0,X2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: array] :
( ! [X1: $int] :
( $less(X1,20)
| ( read(X0,X1) = $sum(X1,25) )
| $less(30,X1) )
& ! [X2: $int] : ( read(X0,X2) != 50 ) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 50 )
& ! [X1: $int] :
( ( read(X0,X1) = $sum(X1,25) )
| $less(30,X1)
| $less(X1,20) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array] :
( ! [X1: $int] :
( ( ~ $less(30,X1)
& ~ $less(X1,20) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_166,[]) ).
tff(f28,plain,
! [X2: $int] : ( 50 != read(sK0,X2) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT015=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.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 20:30:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (7096)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)
% 0.20/0.48 % (7112)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)
% 0.20/0.50 % (7118)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50 % (7110)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)
% 0.20/0.50 % (7120)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)
% 0.20/0.50 % (7110)Refutation not found, incomplete strategy% (7110)------------------------------
% 0.20/0.50 % (7110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (7102)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.50 % (7110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (7110)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (7104)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)
% 0.20/0.50 % (7110)Memory used [KB]: 5373
% 0.20/0.50 % (7110)Time elapsed: 0.101 s
% 0.20/0.50 % (7110)Instructions burned: 2 (million)
% 0.20/0.50 % (7110)------------------------------
% 0.20/0.50 % (7110)------------------------------
% 0.20/0.50 % (7104)Instruction limit reached!
% 0.20/0.50 % (7104)------------------------------
% 0.20/0.50 % (7104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (7104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (7104)Termination reason: Unknown
% 0.20/0.50 % (7104)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (7104)Memory used [KB]: 5373
% 0.20/0.50 % (7104)Time elapsed: 0.002 s
% 0.20/0.50 % (7104)Instructions burned: 2 (million)
% 0.20/0.50 % (7104)------------------------------
% 0.20/0.50 % (7104)------------------------------
% 0.20/0.51 % (7112)Instruction limit reached!
% 0.20/0.51 % (7112)------------------------------
% 0.20/0.51 % (7112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (7112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (7112)Termination reason: Unknown
% 0.20/0.51 % (7112)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (7112)Memory used [KB]: 1023
% 0.20/0.51 % (7112)Time elapsed: 0.110 s
% 0.20/0.51 % (7112)Instructions burned: 16 (million)
% 0.20/0.51 % (7112)------------------------------
% 0.20/0.51 % (7112)------------------------------
% 0.20/0.51 % (7121)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)
% 0.20/0.51 % (7105)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.51 % (7105)Refutation not found, incomplete strategy% (7105)------------------------------
% 0.20/0.51 % (7105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (7113)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)
% 0.20/0.52 % (7106)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)
% 0.20/0.52 % (7113)Refutation not found, incomplete strategy% (7113)------------------------------
% 0.20/0.52 % (7113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7113)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (7113)Memory used [KB]: 5373
% 0.20/0.52 % (7113)Time elapsed: 0.125 s
% 0.20/0.52 % (7113)Instructions burned: 1 (million)
% 0.20/0.52 % (7113)------------------------------
% 0.20/0.52 % (7113)------------------------------
% 0.20/0.52 % (7120)First to succeed.
% 0.20/0.52 % (7105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7105)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (7105)Memory used [KB]: 5373
% 0.20/0.52 % (7105)Time elapsed: 0.119 s
% 0.20/0.52 % (7105)Instructions burned: 2 (million)
% 0.20/0.52 % (7105)------------------------------
% 0.20/0.52 % (7105)------------------------------
% 0.20/0.53 % (7114)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)
% 0.20/0.53 % (7119)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53 % (7093)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)
% 0.20/0.53 % (7094)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 % (7119)Refutation not found, incomplete strategy% (7119)------------------------------
% 0.20/0.53 % (7119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (7119)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (7119)Memory used [KB]: 5373
% 0.20/0.53 % (7119)Time elapsed: 0.128 s
% 0.20/0.53 % (7119)Instructions burned: 2 (million)
% 0.20/0.53 % (7119)------------------------------
% 0.20/0.53 % (7119)------------------------------
% 0.20/0.53 % (7095)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)
% 0.20/0.53 % (7096)Instruction limit reached!
% 0.20/0.53 % (7096)------------------------------
% 0.20/0.53 % (7096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (7096)Termination reason: Unknown
% 0.20/0.53 % (7096)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (7096)Memory used [KB]: 5884
% 0.20/0.53 % (7096)Time elapsed: 0.139 s
% 0.20/0.53 % (7096)Instructions burned: 37 (million)
% 0.20/0.53 % (7096)------------------------------
% 0.20/0.53 % (7096)------------------------------
% 0.20/0.53 % (7097)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 % (7120)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (7120)------------------------------
% 0.20/0.53 % (7120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (7120)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (7120)Memory used [KB]: 5628
% 0.20/0.53 % (7120)Time elapsed: 0.130 s
% 0.20/0.53 % (7120)Instructions burned: 19 (million)
% 0.20/0.53 % (7120)------------------------------
% 0.20/0.53 % (7120)------------------------------
% 0.20/0.53 % (7091)Success in time 0.177 s
%------------------------------------------------------------------------------