TSTP Solution File: PLA022-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue Apr 30 14:42:01 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 147 ( 74 ~; 66 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f102,f106,f119,f132,f134,f136,f138]) ).
fof(f138,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f131,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).
fof(f131,plain,
( ~ holds(clear(a),s0)
| spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_13
<=> holds(clear(a),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f136,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f135,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f127,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
fof(f127,plain,
( ~ holds(empty,s0)
| spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl0_12
<=> holds(empty,s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f134,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f54,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f54,plain,
( ~ holds(clear(c),s0)
| spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_2
<=> holds(clear(c),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f132,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f123,f117,f52,f129,f125]) ).
fof(f117,plain,
( spl0_11
<=> ! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f123,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ spl0_11 ),
inference(resolution,[],[f118,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).
fof(f118,plain,
( ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( ~ spl0_9
| spl0_11
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f108,f97,f117,f93]) ).
fof(f93,plain,
( spl0_9
<=> differ(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f97,plain,
( spl0_10
<=> ! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f108,plain,
( ! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,a) )
| ~ spl0_10 ),
inference(resolution,[],[f98,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).
fof(f98,plain,
( ! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f106,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f103,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).
fof(f103,plain,
( ~ differ(a,c)
| spl0_9 ),
inference(resolution,[],[f95,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f95,plain,
( ~ differ(c,a)
| spl0_9 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f102,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f91,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).
fof(f91,plain,
( ~ differ(a,table)
| spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_8
<=> differ(a,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f99,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f57,f97,f93,f89]) ).
fof(f57,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(on(c,d),X0)
| ~ differ(c,a)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(resolution,[],[f45,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
fof(f45,plain,
! [X0,X1] :
( ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(clear(c),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f42,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X3),X2))
| ~ holds(on(X0,X1),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(holding(a),X0) ),
inference(resolution,[],[f38,f9]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X3,X4),X2))
| ~ holds(on(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
fof(f38,plain,
! [X0] :
( ~ holds(on(c,d),do(putdown(a,c),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f7,f32]) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(a,c),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(a,c),on(c,d)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ACD) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.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 : Tue Apr 30 02:15:17 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (25370)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (25375)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (25375)First to succeed.
% 0.14/0.37 % (25375)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (25375)------------------------------
% 0.14/0.37 % (25375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (25375)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (25375)Memory used [KB]: 888
% 0.14/0.37 % (25375)Time elapsed: 0.004 s
% 0.14/0.37 % (25375)Instructions burned: 7 (million)
% 0.14/0.37 % (25375)------------------------------
% 0.14/0.37 % (25375)------------------------------
% 0.14/0.37 % (25370)Success in time 0.013 s
%------------------------------------------------------------------------------