TSTP Solution File: DAT094_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT094_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 : n008.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 16:04:09 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 56 ( 13 unt; 18 typ; 0 def)
% Number of atoms : 81 ( 12 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 83 ( 40 ~; 37 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 282 ( 68 atm; 54 fun; 127 num; 33 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 29 ( 16 >; 13 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_12,type,
sK2: ( list * $int ) > $int ).
tff(func_def_13,type,
sK3: ( list * $int ) > list ).
tff(func_def_14,type,
sK4: ( list * $int ) > $int ).
tff(func_def_15,type,
sK5: ( list * $int ) > list ).
tff(func_def_16,type,
sK6: ( list * $int ) > $int ).
tff(func_def_17,type,
sK7: ( list * $int ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(pred_def_6,type,
sP0: ( list * $int ) > $o ).
tff(pred_def_7,type,
sP1: ( list * $int ) > $o ).
tff(f354,plain,
$false,
inference(evaluation,[],[f352]) ).
tff(f352,plain,
( $less(4,$sum(4,0))
| ~ $less(1,$sum(2,0)) ),
inference(superposition,[],[f348,f88]) ).
tff(f88,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f348,plain,
! [X5: list] :
( ~ $less(1,$sum(2,length(X5)))
| $less(4,$sum(4,length(X5))) ),
inference(evaluation,[],[f347]) ).
tff(f347,plain,
! [X5: list] :
( $less(4,$sum(3,$sum(1,length(X5))))
| ~ $less(1,$sum(2,length(X5))) ),
inference(forward_demodulation,[],[f346,f73]) ).
tff(f73,plain,
! [X0: list,X1: $int] : ( $sum(1,length(X0)) = length(cons(X1,X0)) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: list,X1: $int] : ( $sum(1,length(X0)) = length(cons(X1,X0)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X4: list,X3: $int] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).
tff(f346,plain,
! [X7: $int,X5: list] :
( $less(4,$sum(3,length(cons(X7,X5))))
| ~ $less(1,$sum(2,length(X5))) ),
inference(evaluation,[],[f345]) ).
tff(f345,plain,
! [X7: $int,X5: list] :
( ~ $less(1,$sum(2,length(X5)))
| $less(4,$sum(2,$sum(1,length(cons(X7,X5))))) ),
inference(forward_demodulation,[],[f344,f73]) ).
tff(f344,plain,
! [X6: $int,X7: $int,X5: list] :
( ~ $less(1,$sum(2,length(X5)))
| $less(4,$sum(2,length(cons(X6,cons(X7,X5))))) ),
inference(forward_demodulation,[],[f339,f76]) ).
tff(f76,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X1: list] : ( append(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_6) ).
tff(f339,plain,
! [X6: $int,X7: $int,X5: list] :
( ~ $less(1,$sum(2,length(X5)))
| $less(4,$sum(2,length(append(nil,cons(X6,cons(X7,X5)))))) ),
inference(evaluation,[],[f338]) ).
tff(f338,plain,
! [X6: $int,X7: $int,X5: list] :
( $less(4,$sum(2,length(append(nil,cons(X6,cons(X7,X5))))))
| ~ $less(1,$sum(2,length(X5)))
| ~ $less(1,$sum(2,0)) ),
inference(superposition,[],[f177,f88]) ).
tff(f177,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( ~ $less(1,$sum(2,length(X2)))
| ~ $less(1,$sum(2,length(X1)))
| $less(4,$sum(2,length(append(X2,cons(X3,cons(X0,X1)))))) ),
inference(evaluation,[],[f175]) ).
tff(f175,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( $less(4,$sum(2,length(append(X2,cons(X3,cons(X0,X1))))))
| ~ $less(1,$sum(2,length(X2)))
| ~ $less(1,$sum(1,$sum(1,length(X1)))) ),
inference(superposition,[],[f154,f73]) ).
tff(f154,plain,
! [X2: list,X3: $int,X1: list] :
( ~ $less(1,$sum(1,length(X2)))
| ~ $less(1,$sum(2,length(X1)))
| $less(4,$sum(2,length(append(X1,cons(X3,X2))))) ),
inference(evaluation,[],[f153]) ).
tff(f153,plain,
! [X2: list,X3: $int,X1: list] :
( ~ $less(1,$sum(1,length(X2)))
| $less(4,$sum(1,$sum(1,length(append(X1,cons(X3,X2))))))
| ~ $less(1,$sum(2,length(X1))) ),
inference(forward_demodulation,[],[f152,f73]) ).
tff(f152,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( ~ $less(1,$sum(1,length(X2)))
| $less(4,$sum(1,length(cons(X0,append(X1,cons(X3,X2))))))
| ~ $less(1,$sum(2,length(X1))) ),
inference(forward_demodulation,[],[f151,f74]) ).
tff(f74,plain,
! [X2: list,X0: list,X1: $int] : ( append(cons(X1,X2),X0) = cons(X1,append(X2,X0)) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: list,X1: $int,X2: list] : ( append(cons(X1,X2),X0) = cons(X1,append(X2,X0)) ),
inference(rectify,[],[f35]) ).
tff(f35,plain,
! [X2: list,X0: $int,X1: list] : ( append(cons(X0,X1),X2) = cons(X0,append(X1,X2)) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X6: $int,X0: list,X1: list] : ( append(cons(X6,X0),X1) = cons(X6,append(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_7) ).
tff(f151,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( ~ $less(1,$sum(1,length(X2)))
| $less(4,$sum(1,length(append(cons(X0,X1),cons(X3,X2)))))
| ~ $less(1,$sum(2,length(X1))) ),
inference(evaluation,[],[f149]) ).
tff(f149,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( ~ $less(1,$sum(1,$sum(1,length(X1))))
| ~ $less(1,$sum(1,length(X2)))
| $less(4,$sum(1,length(append(cons(X0,X1),cons(X3,X2))))) ),
inference(superposition,[],[f123,f73]) ).
tff(f123,plain,
! [X2: list,X3: $int,X1: list] :
( ~ $less(1,$sum(1,length(X1)))
| ~ $less(1,$sum(1,length(X2)))
| $less(4,$sum(1,length(append(X1,cons(X3,X2))))) ),
inference(forward_demodulation,[],[f122,f73]) ).
tff(f122,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( ~ $less(1,$sum(1,length(X1)))
| $less(4,length(cons(X0,append(X1,cons(X3,X2)))))
| ~ $less(1,$sum(1,length(X2))) ),
inference(forward_demodulation,[],[f120,f74]) ).
tff(f120,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( ~ $less(1,$sum(1,length(X2)))
| ~ $less(1,$sum(1,length(X1)))
| $less(4,length(append(cons(X0,X1),cons(X3,X2)))) ),
inference(superposition,[],[f110,f73]) ).
tff(f110,plain,
! [X2: list,X0: $int,X1: list] :
( ~ $less(1,length(X2))
| ~ $less(1,$sum(1,length(X1)))
| $less(4,length(append(X2,cons(X0,X1)))) ),
inference(superposition,[],[f78,f73]) ).
tff(f78,plain,
! [X0: list,X1: list] :
( ~ $less(1,length(X1))
| $less(4,length(append(X0,X1)))
| ~ $less(1,length(X0)) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: list,X1: list] :
( ~ $less(1,length(X0))
| $less(4,length(append(X0,X1)))
| ~ $less(1,length(X1)) ),
inference(flattening,[],[f45]) ).
tff(f45,plain,
! [X0: list,X1: list] :
( $less(4,length(append(X0,X1)))
| ~ $less(1,length(X1))
| ~ $less(1,length(X0)) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: list,X1: list] :
( ( $less(1,length(X1))
& $less(1,length(X0)) )
=> $less(4,length(append(X0,X1))) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X0: list,X1: list] :
( ( $greater(length(X0),1)
& $greater(length(X1),1) )
=> $greater(length(append(X0,X1)),4) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X0: list,X1: list] :
( ( $greater(length(X0),1)
& $greater(length(X1),1) )
=> $greater(length(append(X0,X1)),4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : DAT094=1 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 20:25:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 % (8721)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.46 % (8712)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 (3000ds/2Mi)
% 0.19/0.46 % (8712)Instruction limit reached!
% 0.19/0.46 % (8712)------------------------------
% 0.19/0.46 % (8712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (8712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (8712)Termination reason: Unknown
% 0.19/0.46 % (8712)Termination phase: Including theory axioms
% 0.19/0.46
% 0.19/0.46 % (8712)Memory used [KB]: 895
% 0.19/0.46 % (8712)Time elapsed: 0.005 s
% 0.19/0.46 % (8712)Instructions burned: 2 (million)
% 0.19/0.46 % (8712)------------------------------
% 0.19/0.46 % (8712)------------------------------
% 0.19/0.47 % (8704)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 (3000ds/36Mi)
% 0.19/0.48 % (8705)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.19/0.48 % (8725)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.48 % (8720)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 (3000ds/46Mi)
% 0.19/0.48 % (8701)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 (3000ds/37Mi)
% 0.19/0.49 % (8711)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 (3000ds/50Mi)
% 0.19/0.50 % (8721)First to succeed.
% 0.19/0.50 % (8721)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (8721)------------------------------
% 0.19/0.50 % (8721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8721)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (8721)Memory used [KB]: 5756
% 0.19/0.50 % (8721)Time elapsed: 0.092 s
% 0.19/0.50 % (8721)Instructions burned: 25 (million)
% 0.19/0.50 % (8721)------------------------------
% 0.19/0.50 % (8721)------------------------------
% 0.19/0.50 % (8694)Success in time 0.163 s
%------------------------------------------------------------------------------