TSTP Solution File: PUZ012_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ012_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 : n005.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 18:10:39 EDT 2022
% Result : Theorem 1.31s 0.51s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 51 ( 15 unt; 12 typ; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 22 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
box: $tType ).
tff(type_def_6,type,
fruit: $tType ).
tff(func_def_0,type,
boxa: box ).
tff(func_def_1,type,
boxb: box ).
tff(func_def_2,type,
boxc: box ).
tff(func_def_3,type,
apples: fruit ).
tff(func_def_4,type,
bananas: fruit ).
tff(func_def_5,type,
oranges: fruit ).
tff(pred_def_1,type,
equal_fruits: ( fruit * fruit ) > $o ).
tff(pred_def_2,type,
equal_boxes: ( box * box ) > $o ).
tff(pred_def_3,type,
contains: ( box * fruit ) > $o ).
tff(pred_def_4,type,
label: ( box * fruit ) > $o ).
tff(f81,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f77,f80]) ).
tff(f80,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f79]) ).
tff(f79,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f78,f63]) ).
tff(f63,plain,
~ contains(boxc,bananas),
inference(unit_resulting_resolution,[],[f35,f36]) ).
tff(f36,plain,
! [X0: fruit,X1: box] :
( ~ label(X1,X0)
| ~ contains(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: fruit,X1: box] :
( ~ contains(X1,X0)
| ~ label(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: fruit,X1: box] :
~ ( label(X1,X0)
& contains(X1,X0) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: fruit,X0: box] :
~ ( contains(X0,X1)
& label(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_is_wrong) ).
tff(f35,plain,
label(boxc,bananas),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
label(boxc,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxc_labelled_bananas) ).
tff(f78,plain,
( contains(boxc,bananas)
| spl0_2 ),
inference(unit_resulting_resolution,[],[f55,f52,f42]) ).
tff(f42,plain,
! [X0: fruit] :
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: fruit] :
( contains(boxa,X0)
| contains(boxc,X0)
| contains(boxb,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).
tff(f52,plain,
( ~ contains(boxa,bananas)
| spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f50,plain,
( spl0_2
<=> contains(boxa,bananas) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f55,plain,
~ contains(boxb,bananas),
inference(unit_resulting_resolution,[],[f41,f29,f43]) ).
tff(f43,plain,
! [X2: fruit,X0: box,X1: fruit] :
( ~ contains(X0,X2)
| ~ contains(X0,X1)
| equal_fruits(X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: box,X1: fruit,X2: fruit] :
( equal_fruits(X1,X2)
| ~ contains(X0,X1)
| ~ contains(X0,X2) ),
inference(flattening,[],[f26]) ).
tff(f26,plain,
! [X2: fruit,X1: fruit,X0: box] :
( equal_fruits(X1,X2)
| ~ contains(X0,X1)
| ~ contains(X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X2: fruit,X1: fruit,X0: box] :
( ( contains(X0,X1)
& contains(X0,X2) )
=> equal_fruits(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined1) ).
tff(f29,plain,
contains(boxb,apples),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
contains(boxb,apples),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_contains_apples) ).
tff(f41,plain,
~ equal_fruits(apples,bananas),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_bananas) ).
tff(f77,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f70,f46,f50]) ).
tff(f46,plain,
( spl0_1
<=> contains(boxc,oranges) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f70,plain,
( ~ contains(boxa,bananas)
| spl0_1 ),
inference(unit_resulting_resolution,[],[f30,f66,f43]) ).
tff(f66,plain,
( contains(boxa,oranges)
| spl0_1 ),
inference(unit_resulting_resolution,[],[f48,f54,f42]) ).
tff(f54,plain,
~ contains(boxb,oranges),
inference(unit_resulting_resolution,[],[f44,f29,f43]) ).
tff(f44,plain,
~ equal_fruits(apples,oranges),
inference(cnf_transformation,[],[f13]) ).
tff(f13,axiom,
~ equal_fruits(apples,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_oranges) ).
tff(f48,plain,
( ~ contains(boxc,oranges)
| spl0_1 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f30,plain,
~ equal_fruits(bananas,oranges),
inference(cnf_transformation,[],[f12]) ).
tff(f12,axiom,
~ equal_fruits(bananas,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bananas_not_oranges) ).
tff(f53,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f40,f50,f46]) ).
tff(f40,plain,
( ~ contains(boxa,bananas)
| ~ contains(boxc,oranges) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ~ contains(boxa,bananas)
| ~ contains(boxc,oranges) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,negated_conjecture,
~ ( contains(boxc,oranges)
& contains(boxa,bananas) ),
inference(negated_conjecture,[],[f18]) ).
tff(f18,conjecture,
( contains(boxc,oranges)
& contains(boxa,bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ012_1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 10:35:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (24636)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (24641)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (24639)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (24638)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51 % (24652)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51 % (24636)First to succeed.
% 0.20/0.51 % (24634)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.51 % (24636)Refutation found. Thanks to Tanya!
% 1.31/0.51 % SZS status Theorem for theBenchmark
% 1.31/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.51 % (24636)------------------------------
% 1.31/0.51 % (24636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.51 % (24636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.51 % (24636)Termination reason: Refutation
% 1.31/0.51
% 1.31/0.51 % (24636)Memory used [KB]: 5884
% 1.31/0.51 % (24636)Time elapsed: 0.109 s
% 1.31/0.51 % (24636)Instructions burned: 2 (million)
% 1.31/0.51 % (24636)------------------------------
% 1.31/0.51 % (24636)------------------------------
% 1.31/0.51 % (24632)Success in time 0.164 s
%------------------------------------------------------------------------------