TSTP Solution File: PUZ012_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n027.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 18:11:30 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 58 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 35 ~; 35 |; 5 &)
% ( 2 <=>; 2 =>; 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 : 28 ( 28 !; 0 ?; 28 :)
% 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(f99,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f77,f98]) ).
tff(f98,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f97]) ).
tff(f97,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f95,f41]) ).
tff(f41,plain,
~ equal_fruits(bananas,oranges),
inference(cnf_transformation,[],[f12]) ).
tff(f12,axiom,
~ equal_fruits(bananas,oranges),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bananas_not_oranges) ).
tff(f95,plain,
( equal_fruits(bananas,oranges)
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f83,f87]) ).
tff(f87,plain,
( contains(boxa,oranges)
| spl0_2 ),
inference(subsumption_resolution,[],[f85,f59]) ).
tff(f59,plain,
~ contains(boxb,oranges),
inference(resolution,[],[f36,f42]) ).
tff(f42,plain,
label(boxb,oranges),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
label(boxb,oranges),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxb_labelled_oranges) ).
tff(f36,plain,
! [X0: box,X1: fruit] :
( ~ label(X0,X1)
| ~ contains(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: box,X1: fruit] :
( ~ contains(X0,X1)
| ~ label(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X1: fruit,X0: box] :
~ ( label(X0,X1)
& contains(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',label_is_wrong) ).
tff(f85,plain,
( contains(boxa,oranges)
| contains(boxb,oranges)
| spl0_2 ),
inference(resolution,[],[f55,f43]) ).
tff(f43,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(boxb,X0)
| contains(boxc,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).
tff(f55,plain,
( ~ contains(boxc,oranges)
| spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
tff(f53,plain,
( spl0_2
<=> contains(boxc,oranges) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f83,plain,
( ! [X0: fruit] :
( ~ contains(boxa,X0)
| equal_fruits(bananas,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f50,f44]) ).
tff(f44,plain,
! [X2: box,X0: fruit,X1: fruit] :
( ~ contains(X2,X1)
| equal_fruits(X1,X0)
| ~ contains(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: fruit,X1: fruit,X2: box] :
( ~ contains(X2,X1)
| equal_fruits(X1,X0)
| ~ contains(X2,X0) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
! [X1: fruit,X2: fruit,X0: box] :
( ~ contains(X0,X2)
| equal_fruits(X2,X1)
| ~ contains(X0,X1) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X2: fruit,X0: box,X1: fruit] :
( equal_fruits(X2,X1)
| ~ contains(X0,X2)
| ~ contains(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,plain,
! [X2: fruit,X0: box,X1: fruit] :
( ( contains(X0,X2)
& contains(X0,X1) )
=> equal_fruits(X2,X1) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X0: box,X2: fruit,X1: fruit] :
( ( contains(X0,X1)
& contains(X0,X2) )
=> equal_fruits(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contains_is_well_defined1) ).
tff(f50,plain,
( contains(boxa,bananas)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
tff(f49,plain,
( spl0_1
<=> contains(boxa,bananas) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f77,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f76]) ).
tff(f76,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f74,f34]) ).
tff(f34,plain,
~ equal_fruits(apples,bananas),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apples_not_bananas) ).
tff(f74,plain,
( equal_fruits(apples,bananas)
| spl0_1 ),
inference(resolution,[],[f62,f67]) ).
tff(f67,plain,
( contains(boxb,bananas)
| spl0_1 ),
inference(subsumption_resolution,[],[f66,f51]) ).
tff(f51,plain,
( ~ contains(boxa,bananas)
| spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
tff(f66,plain,
( contains(boxb,bananas)
| contains(boxa,bananas) ),
inference(resolution,[],[f58,f43]) ).
tff(f58,plain,
~ contains(boxc,bananas),
inference(resolution,[],[f36,f39]) ).
tff(f39,plain,
label(boxc,bananas),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
label(boxc,bananas),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxc_labelled_bananas) ).
tff(f62,plain,
! [X0: fruit] :
( ~ contains(boxb,X0)
| equal_fruits(apples,X0) ),
inference(resolution,[],[f44,f33]) ).
tff(f33,plain,
contains(boxb,apples),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
contains(boxb,apples),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxb_contains_apples) ).
tff(f56,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f47,f53,f49]) ).
tff(f47,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,negated_conjecture,
~ ( contains(boxa,bananas)
& contains(boxc,oranges) ),
inference(negated_conjecture,[],[f18]) ).
tff(f18,conjecture,
( contains(boxa,bananas)
& contains(boxc,oranges) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : PUZ012_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n027.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 : Tue Aug 30 10:51:16 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.48 % (3538)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (3546)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.49 % (3546)First to succeed.
% 0.20/0.49 % (3532)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (3546)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (3546)------------------------------
% 0.20/0.49 % (3546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (3546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (3546)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (3546)Memory used [KB]: 5373
% 0.20/0.49 % (3546)Time elapsed: 0.099 s
% 0.20/0.49 % (3546)Instructions burned: 3 (million)
% 0.20/0.49 % (3546)------------------------------
% 0.20/0.49 % (3546)------------------------------
% 0.20/0.49 % (3524)Success in time 0.148 s
%------------------------------------------------------------------------------