TSTP Solution File: DAT045_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT045_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 : 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 16:04:00 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 37 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 66 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 64 ( 27 ~; 18 |; 6 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 70 ( 28 atm; 9 fun; 9 num; 24 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 29 !; 6 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f107,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f103,f106]) ).
tff(f106,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f105]) ).
tff(f105,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f104,f23]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f104,plain,
( $less(sK1,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f96,f62]) ).
tff(f62,plain,
! [X2: $int] :
( ~ in(X2,sK0)
| $less(X2,sK1) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
( ~ $less(count(sK0),count(add(sK1,sK0)))
& ! [X2: $int] :
( $less(X2,sK1)
| ~ in(X2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f47,f48]) ).
tff(f48,plain,
( ? [X0: collection,X1: $int] :
( ~ $less(count(X0),count(add(X1,X0)))
& ! [X2: $int] :
( $less(X2,X1)
| ~ in(X2,X0) ) )
=> ( ~ $less(count(sK0),count(add(sK1,sK0)))
& ! [X2: $int] :
( $less(X2,sK1)
| ~ in(X2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f47,plain,
? [X0: collection,X1: $int] :
( ~ $less(count(X0),count(add(X1,X0)))
& ! [X2: $int] :
( $less(X2,X1)
| ~ in(X2,X0) ) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
? [X1: collection,X0: $int] :
( ~ $less(count(X1),count(add(X0,X1)))
& ! [X2: $int] :
( $less(X2,X0)
| ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,plain,
~ ! [X0: $int,X1: collection] :
( ! [X2: $int] :
( in(X2,X1)
=> $less(X2,X0) )
=> $less(count(X1),count(add(X0,X1))) ),
inference(rectify,[],[f15]) ).
tff(f15,plain,
~ ! [X1: $int,X0: collection] :
( ! [X2: $int] :
( in(X2,X0)
=> $less(X2,X1) )
=> $less(count(X0),count(add(X1,X0))) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X1: $int,X0: collection] :
( ! [X2: $int] :
( in(X2,X0)
=> $greater(X1,X2) )
=> $greater(count(add(X1,X0)),count(X0)) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X1: $int,X0: collection] :
( ! [X2: $int] :
( in(X2,X0)
=> $greater(X1,X2) )
=> $greater(count(add(X1,X0)),count(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f96,plain,
( in(sK1,sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f94,plain,
( spl2_2
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f103,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f102]) ).
tff(f102,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f98,f23]) ).
tff(f98,plain,
( $less(count(sK0),count(sK0))
| spl2_1 ),
inference(resolution,[],[f92,f27]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f92,plain,
( ~ $less(count(sK0),$sum(count(sK0),1))
| spl2_1 ),
inference(avatar_component_clause,[],[f90]) ).
tff(f90,plain,
( spl2_1
<=> $less(count(sK0),$sum(count(sK0),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f97,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f88,f94,f90]) ).
tff(f88,plain,
( in(sK1,sK0)
| ~ $less(count(sK0),$sum(count(sK0),1)) ),
inference(superposition,[],[f63,f71]) ).
tff(f71,plain,
! [X0: collection,X1: $int] :
( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: collection,X1: $int] :
( ( ~ in(X1,X0)
| ( count(add(X1,X0)) != $sum(count(X0),1) ) )
& ( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
<=> ( count(add(X1,X0)) = $sum(count(X0),1) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X14: collection,X13: $int] :
( ~ in(X13,X14)
<=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f63,plain,
~ $less(count(sK0),count(add(sK1,sK0))),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT045=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 20:16:55 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.53 % (6428)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)
% 0.20/0.53 % (6428)First to succeed.
% 0.20/0.53 % (6429)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)
% 0.20/0.54 % (6444)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (6428)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (6428)------------------------------
% 0.20/0.54 % (6428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (6428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (6428)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (6428)Memory used [KB]: 5500
% 0.20/0.54 % (6428)Time elapsed: 0.127 s
% 0.20/0.54 % (6428)Instructions burned: 4 (million)
% 0.20/0.54 % (6428)------------------------------
% 0.20/0.54 % (6428)------------------------------
% 0.20/0.54 % (6420)Success in time 0.2 s
%------------------------------------------------------------------------------