TSTP Solution File: DAT084_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT084_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 : n009.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 16:04:07 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 46 ( 16 unt; 17 typ; 0 def)
% Number of atoms : 42 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 9 |; 0 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 48 ( 8 atm; 11 fun; 19 num; 10 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 16 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 13 !; 5 ?; 18 :)
% 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_11,type,
sK0: ( $int * list ) > list ).
tff(func_def_12,type,
sK1: ( $int * list ) > $int ).
tff(func_def_13,type,
sK2: ( $int * list ) > list ).
tff(func_def_14,type,
sK3: ( $int * list ) > $int ).
tff(func_def_15,type,
sK4: ( list * $int ) > list ).
tff(func_def_16,type,
sK5: ( list * $int ) > $int ).
tff(func_def_17,type,
sK6: list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f206,plain,
$false,
inference(avatar_sat_refutation,[],[f105,f167,f198,f201]) ).
tff(f201,plain,
~ spl7_4,
inference(avatar_contradiction_clause,[],[f199]) ).
tff(f199,plain,
( $false
| ~ spl7_4 ),
inference(resolution,[],[f197,f24]) ).
tff(f24,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f197,plain,
( $less(length(sK6),length(sK6))
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f196]) ).
tff(f196,plain,
( spl7_4
<=> $less(length(sK6),length(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
tff(f198,plain,
( spl7_4
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f190,f164,f196]) ).
tff(f164,plain,
( spl7_3
<=> ( length(sK6) = $sum(1,length(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
tff(f190,plain,
( $less(length(sK6),length(sK6))
| ~ spl7_3 ),
inference(superposition,[],[f144,f165]) ).
tff(f165,plain,
( ( length(sK6) = $sum(1,length(sK6)) )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f144,plain,
! [X3: $int] : $less(X3,$sum(1,X3)),
inference(superposition,[],[f106,f19]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f106,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f28,f24]) ).
tff(f28,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
tff(f167,plain,
( spl7_3
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f161,f103,f164]) ).
tff(f103,plain,
( spl7_2
<=> ( length(sK6) = length(cons(1,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
tff(f161,plain,
( ( length(sK6) = $sum(1,length(sK6)) )
| ~ spl7_2 ),
inference(superposition,[],[f83,f104]) ).
tff(f104,plain,
( ( length(sK6) = length(cons(1,sK6)) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f83,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3: $int,X4: list] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).
tff(f105,plain,
spl7_2,
inference(avatar_split_clause,[],[f84,f103]) ).
tff(f84,plain,
length(sK6) = length(cons(1,sK6)),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
length(sK6) = length(cons(1,sK6)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f35,f60]) ).
tff(f60,plain,
( ? [X0: list] : ( length(cons(1,X0)) = length(X0) )
=> ( length(sK6) = length(cons(1,sK6)) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
? [X0: list] : ( length(cons(1,X0)) = length(X0) ),
inference(flattening,[],[f34]) ).
tff(f34,plain,
~ ~ ? [X0: list] : ( length(cons(1,X0)) = length(X0) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ? [X1: list] : ( length(X1) = length(cons(1,X1)) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ? [X1: list] : ( length(X1) = length(cons(1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT084=1 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 20:18:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (9667)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 (2999ds/26Mi)
% 0.19/0.48 % (9675)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48 % (9675)Instruction limit reached!
% 0.19/0.48 % (9675)------------------------------
% 0.19/0.48 % (9675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (9675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (9675)Termination reason: Unknown
% 0.19/0.48 % (9675)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (9675)Memory used [KB]: 5500
% 0.19/0.48 % (9675)Time elapsed: 0.004 s
% 0.19/0.48 % (9675)Instructions burned: 3 (million)
% 0.19/0.48 % (9675)------------------------------
% 0.19/0.48 % (9675)------------------------------
% 0.19/0.49 % (9667)Instruction limit reached!
% 0.19/0.49 % (9667)------------------------------
% 0.19/0.49 % (9667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (9659)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.19/0.50 % (9688)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)
% 0.19/0.50 % (9667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9667)Termination reason: Unknown
% 0.19/0.50 % (9667)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (9667)Memory used [KB]: 5756
% 0.19/0.50 % (9667)Time elapsed: 0.088 s
% 0.19/0.50 % (9667)Instructions burned: 27 (million)
% 0.19/0.50 % (9667)------------------------------
% 0.19/0.50 % (9667)------------------------------
% 0.19/0.50 % (9672)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.51 % (9668)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (9688)First to succeed.
% 0.19/0.51 % (9669)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.51 % (9688)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (9688)------------------------------
% 0.19/0.51 % (9688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9688)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (9688)Memory used [KB]: 5628
% 0.19/0.51 % (9688)Time elapsed: 0.122 s
% 0.19/0.51 % (9688)Instructions burned: 7 (million)
% 0.19/0.51 % (9688)------------------------------
% 0.19/0.51 % (9688)------------------------------
% 0.19/0.51 % (9658)Success in time 0.16 s
%------------------------------------------------------------------------------