TSTP Solution File: DAT022_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT022_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 : n021.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 16:03:55 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 135 ( 31 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 145 ( 50 ~; 40 |; 35 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 121 ( 24 atm; 0 fun; 53 num; 44 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 70 ( 59 !; 11 ?; 70 :)
% 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_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: collection ).
tff(func_def_11,type,
sK2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f154,plain,
$false,
inference(avatar_sat_refutation,[],[f112,f126,f153]) ).
tff(f153,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f152]) ).
tff(f152,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f149,f39]) ).
tff(f39,plain,
~ $less(0,sK2),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) )
& ( sK1 = add(2,remove(7,sK0)) )
& ~ $less(0,sK2)
& in(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f29,f28]) ).
tff(f28,plain,
( ? [X0: collection,X1: collection] :
( ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ( add(2,remove(7,X0)) = X1 )
& ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X1) ) )
=> ( ! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) )
& ( sK1 = add(2,remove(7,sK0)) )
& ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,sK1) )
=> ( ~ $less(0,sK2)
& in(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
? [X0: collection,X1: collection] :
( ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ( add(2,remove(7,X0)) = X1 )
& ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X1) ) ),
inference(flattening,[],[f26]) ).
tff(f26,plain,
? [X1: collection,X0: collection] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X1) )
& ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ( add(2,remove(7,X0)) = X1 ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,plain,
~ ! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X0)
=> $less(0,X2) )
& ( add(2,remove(7,X0)) = X1 ) )
=> ! [X3: $int] :
( in(X3,X1)
=> $less(0,X3) ) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
~ ! [X1: collection,X0: collection] :
( ( ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $less(0,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X1: collection,X0: collection] :
( ( ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X1: collection,X0: collection] :
( ( ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f149,plain,
( $less(0,sK2)
| ~ spl3_3 ),
inference(resolution,[],[f134,f41]) ).
tff(f41,plain,
! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) ),
inference(cnf_transformation,[],[f30]) ).
tff(f134,plain,
( in(sK2,sK0)
| ~ spl3_3 ),
inference(resolution,[],[f107,f45]) ).
tff(f45,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(rectify,[],[f33]) ).
tff(f33,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( ( ( X1 != X2 )
& in(X2,X0) )
| ~ in(X2,remove(X1,X0)) )
& ( in(X2,remove(X1,X0))
| ( X1 = X2 )
| ~ in(X2,X0) ) ),
inference(flattening,[],[f32]) ).
tff(f32,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( ( ( X1 != X2 )
& in(X2,X0) )
| ~ in(X2,remove(X1,X0)) )
& ( in(X2,remove(X1,X0))
| ( X1 = X2 )
| ~ in(X2,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X2: $int,X0: collection,X1: $int] :
( ( ( X1 != X2 )
& in(X2,X0) )
<=> in(X2,remove(X1,X0)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X9: collection,X10: $int,X8: $int] :
( in(X8,remove(X10,X9))
<=> ( ( X8 != X10 )
& in(X8,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f107,plain,
( in(sK2,remove(7,sK0))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f105]) ).
tff(f105,plain,
( spl3_3
<=> in(sK2,remove(7,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f126,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f125]) ).
tff(f125,plain,
( $false
| ~ spl3_4 ),
inference(evaluation,[],[f123]) ).
tff(f123,plain,
( ~ $less(0,2)
| ~ spl3_4 ),
inference(superposition,[],[f39,f111]) ).
tff(f111,plain,
( ( 2 = sK2 )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f109,plain,
( spl3_4
<=> ( 2 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f112,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f88,f109,f105]) ).
tff(f88,plain,
( ( 2 = sK2 )
| in(sK2,remove(7,sK0)) ),
inference(resolution,[],[f68,f38]) ).
tff(f38,plain,
in(sK2,sK1),
inference(cnf_transformation,[],[f30]) ).
tff(f68,plain,
! [X0: $int] :
( ~ in(X0,sK1)
| ( 2 = X0 )
| in(X0,remove(7,sK0)) ),
inference(superposition,[],[f47,f40]) ).
tff(f40,plain,
sK1 = add(2,remove(7,sK0)),
inference(cnf_transformation,[],[f30]) ).
tff(f47,plain,
! [X2: $int,X0: collection,X1: $int] :
( ~ in(X1,add(X2,X0))
| ( X1 = X2 )
| in(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X1,add(X2,X0))
| ( ( X1 != X2 )
& ~ in(X1,X0) ) )
& ( ( X1 = X2 )
| in(X1,X0)
| ~ in(X1,add(X2,X0)) ) ),
inference(rectify,[],[f36]) ).
tff(f36,plain,
! [X1: collection,X2: $int,X0: $int] :
( ( in(X2,add(X0,X1))
| ( ( X0 != X2 )
& ~ in(X2,X1) ) )
& ( ( X0 = X2 )
| in(X2,X1)
| ~ in(X2,add(X0,X1)) ) ),
inference(flattening,[],[f35]) ).
tff(f35,plain,
! [X1: collection,X2: $int,X0: $int] :
( ( in(X2,add(X0,X1))
| ( ( X0 != X2 )
& ~ in(X2,X1) ) )
& ( ( X0 = X2 )
| in(X2,X1)
| ~ in(X2,add(X0,X1)) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X1: collection,X2: $int,X0: $int] :
( in(X2,add(X0,X1))
<=> ( ( X0 = X2 )
| in(X2,X1) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X7: $int,X6: collection,X5: $int] :
( in(X5,add(X7,X6))
<=> ( ( X5 = X7 )
| in(X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT022=1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n021.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 20:13:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (16543)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)
% 0.19/0.51 % (16534)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)
% 0.19/0.51 % (16534)Instruction limit reached!
% 0.19/0.51 % (16534)------------------------------
% 0.19/0.51 % (16534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16534)Termination reason: Unknown
% 0.19/0.51 % (16534)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (16534)Memory used [KB]: 5500
% 0.19/0.51 % (16534)Time elapsed: 0.004 s
% 0.19/0.51 % (16534)Instructions burned: 2 (million)
% 0.19/0.51 % (16534)------------------------------
% 0.19/0.51 % (16534)------------------------------
% 0.19/0.51 % (16526)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)
% 0.19/0.51 % (16543)First to succeed.
% 0.19/0.51 % (16526)Also succeeded, but the first one will report.
% 0.19/0.52 % (16543)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (16543)------------------------------
% 0.19/0.52 % (16543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16543)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (16543)Memory used [KB]: 5500
% 0.19/0.52 % (16543)Time elapsed: 0.068 s
% 0.19/0.52 % (16543)Instructions burned: 5 (million)
% 0.19/0.52 % (16543)------------------------------
% 0.19/0.52 % (16543)------------------------------
% 0.19/0.52 % (16516)Success in time 0.168 s
%------------------------------------------------------------------------------