TSTP Solution File: DAT057_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT057_1 : TPTP v8.1.0. Released v5.5.0.
% 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 : n018.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 16:04:02 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 28 ( 4 unt; 11 typ; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 7 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 22 ( 0 atm; 0 fun; 0 num; 22 var)
% Number of types : 3 ( 2 usr; 1 ari)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 44 ( 32 !; 12 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: array ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: data ).
tff(func_def_8,type,
sK4: ( array * array ) > $int ).
tff(f35,plain,
$false,
inference(subsumption_resolution,[],[f34,f28]) ).
tff(f28,plain,
sK0 != sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( get(put(sK1,sK2,sK3),sK0) != get(sK1,sK0) )
& ( sK0 != sK2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: array,X2: $int,X3: data] :
( ( get(X1,X0) != get(put(X1,X2,X3),X0) )
& ( X0 != X2 ) )
=> ( ( get(put(sK1,sK2,sK3),sK0) != get(sK1,sK0) )
& ( sK0 != sK2 ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: array,X2: $int,X3: data] :
( ( get(X1,X0) != get(put(X1,X2,X3),X0) )
& ( X0 != X2 ) ),
inference(rectify,[],[f14]) ).
tff(f14,plain,
? [X2: $int,X3: array,X1: $int,X0: data] :
( ( get(put(X3,X1,X0),X2) != get(X3,X2) )
& ( X1 != X2 ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: data,X1: $int,X3: array,X2: $int] :
( ( get(put(X3,X1,X0),X2) = get(X3,X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X2: data,X0: $int,X3: $int,X1: array] :
( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
| ( X0 = X3 ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X2: data,X0: $int,X3: $int,X1: array] :
( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
| ( X0 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1) ).
tff(f34,plain,
sK0 = sK2,
inference(trivial_inequality_removal,[],[f33]) ).
tff(f33,plain,
( ( sK0 = sK2 )
| ( get(sK1,sK0) != get(sK1,sK0) ) ),
inference(superposition,[],[f29,f25]) ).
tff(f25,plain,
! [X2: array,X3: data,X0: $int,X1: $int] :
( ( get(X2,X0) = get(put(X2,X1,X3),X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int,X2: array,X3: data] :
( ( X0 = X1 )
| ( get(X2,X0) = get(put(X2,X1,X3),X0) ) ),
inference(rectify,[],[f13]) ).
tff(f13,plain,
! [X1: $int,X0: $int,X3: array,X2: data] :
( ( X0 = X1 )
| ( get(put(X3,X0,X2),X1) = get(X3,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
! [X1: $int,X0: $int,X2: data,X3: array] :
( ( X0 != X1 )
=> ( get(put(X3,X0,X2),X1) = get(X3,X1) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: $int,X0: $int,X2: data,X1: array] :
( ( X0 != X3 )
=> ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_19) ).
tff(f29,plain,
get(put(sK1,sK2,sK3),sK0) != get(sK1,sK0),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT057=1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:12:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.19/0.50 % (27414)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 (3000ds/8Mi)
% 0.19/0.50 % (27436)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)
% 0.19/0.50 % (27428)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)
% 0.19/0.50 % (27417)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.50 % (27436)First to succeed.
% 0.19/0.50 % (27428)Instruction limit reached!
% 0.19/0.50 % (27428)------------------------------
% 0.19/0.50 % (27428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27436)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 % (27436)------------------------------
% 0.19/0.50 % (27436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (27436)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (27436)Memory used [KB]: 5500
% 0.19/0.50 % (27436)Time elapsed: 0.068 s
% 0.19/0.50 % (27436)Instructions burned: 1 (million)
% 0.19/0.50 % (27436)------------------------------
% 0.19/0.50 % (27436)------------------------------
% 0.19/0.50 % (27410)Success in time 0.151 s
%------------------------------------------------------------------------------