TSTP Solution File: PLA012-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PLA012-1 : 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 14:41:59 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 43
% Syntax : Number of formulae : 125 ( 24 unt; 0 def)
% Number of atoms : 399 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 563 ( 289 ~; 254 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 21 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f827,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f75,f78,f81,f84,f102,f109,f179,f187,f201,f242,f249,f293,f452,f736,f739,f741,f793,f798,f817,f826]) ).
fof(f826,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_34
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f825,f815,f718,f726,f722]) ).
fof(f722,plain,
( spl0_35
<=> holds(clear(c),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f726,plain,
( spl0_36
<=> holds(empty,s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f718,plain,
( spl0_34
<=> holds(clear(b),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f815,plain,
( spl0_43
<=> ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f825,plain,
( ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ spl0_43 ),
inference(resolution,[],[f816,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f816,plain,
( ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f817,plain,
( ~ spl0_28
| spl0_43
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f803,f796,f815,f443]) ).
fof(f443,plain,
( spl0_28
<=> differ(b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f796,plain,
( spl0_41
<=> ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(c),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f803,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c) )
| ~ spl0_41 ),
inference(resolution,[],[f801,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f801,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) )
| ~ spl0_41 ),
inference(duplicate_literal_removal,[],[f799]) ).
fof(f799,plain,
( ! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) )
| ~ spl0_41 ),
inference(resolution,[],[f797,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(X0),X2)
| ~ holds(on(X0,X1),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f797,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0)) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( ~ spl0_21
| spl0_41
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f794,f791,f796,f284]) ).
fof(f284,plain,
( spl0_21
<=> differ(c,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f791,plain,
( spl0_40
<=> ! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f794,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) )
| ~ spl0_40 ),
inference(resolution,[],[f792,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/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f792,plain,
( ! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f793,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_40
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f779,f247,f791,f65,f49]) ).
fof(f49,plain,
( spl0_1
<=> differ(b,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f65,plain,
( spl0_4
<=> differ(d,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f247,plain,
( spl0_20
<=> ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f779,plain,
( ! [X0] :
( ~ holds(holding(c),X0)
| ~ differ(d,table)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) )
| ~ spl0_20 ),
inference(resolution,[],[f778,f30]) ).
fof(f30,axiom,
! [X2] : holds(clear(table),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).
fof(f778,plain,
( ! [X0,X1] :
( ~ holds(clear(X1),X0)
| ~ holds(holding(c),X0)
| ~ differ(d,X1)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,X1) )
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f777]) ).
fof(f777,plain,
( ! [X0,X1] :
( ~ holds(clear(d),X0)
| ~ differ(d,X1)
| ~ holds(clear(X1),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,X1)
| ~ holds(clear(X1),X0)
| ~ holds(holding(c),X0) )
| ~ spl0_20 ),
inference(resolution,[],[f776,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_1) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ holds(empty,do(putdown(c,X0),X1))
| ~ holds(clear(d),X1)
| ~ differ(d,X0)
| ~ holds(clear(X0),X1)
| ~ holds(holding(c),X1)
| ~ holds(clear(b),X1)
| ~ differ(b,X0) )
| ~ spl0_20 ),
inference(resolution,[],[f656,f10]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X3),do(putdown(X0,X1),X2))
| ~ holds(clear(X3),X2)
| ~ differ(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_5) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ holds(clear(b),do(putdown(c,X0),X1))
| ~ holds(empty,do(putdown(c,X0),X1))
| ~ holds(clear(d),X1)
| ~ differ(d,X0)
| ~ holds(clear(X0),X1)
| ~ holds(holding(c),X1) )
| ~ spl0_20 ),
inference(resolution,[],[f266,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).
fof(f266,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(clear(d),X2)
| ~ differ(d,X1) )
| ~ spl0_20 ),
inference(resolution,[],[f248,f10]) ).
fof(f248,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f741,plain,
spl0_36,
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| spl0_36 ),
inference(resolution,[],[f728,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f728,plain,
( ~ holds(empty,s0)
| spl0_36 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f739,plain,
spl0_35,
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| spl0_35 ),
inference(resolution,[],[f724,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f724,plain,
( ~ holds(clear(c),s0)
| spl0_35 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f736,plain,
spl0_34,
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| spl0_34 ),
inference(resolution,[],[f720,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f720,plain,
( ~ holds(clear(b),s0)
| spl0_34 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f452,plain,
spl0_28,
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| spl0_28 ),
inference(resolution,[],[f445,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f445,plain,
( ~ differ(b,c)
| spl0_28 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f293,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| spl0_21 ),
inference(resolution,[],[f286,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f286,plain,
( ~ differ(c,table)
| spl0_21 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f249,plain,
( ~ spl0_7
| spl0_20
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f244,f240,f247,f92]) ).
fof(f92,plain,
( spl0_7
<=> differ(c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f240,plain,
( spl0_19
<=> ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(empty,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f244,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,b) )
| ~ spl0_19 ),
inference(resolution,[],[f241,f5]) ).
fof(f241,plain,
( ! [X0] :
( ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( ~ spl0_2
| spl0_19
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f203,f199,f240,f53]) ).
fof(f53,plain,
( spl0_2
<=> differ(d,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f199,plain,
( spl0_16
<=> ! [X0] :
( ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f203,plain,
( ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ differ(d,b) )
| ~ spl0_16 ),
inference(resolution,[],[f200,f5]) ).
fof(f200,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f201,plain,
( ~ spl0_1
| spl0_16
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f197,f177,f199,f49]) ).
fof(f177,plain,
( spl0_15
<=> ! [X0] :
( ~ holds(clear(b),do(putdown(b,c),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,do(putdown(b,c),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f197,plain,
( ! [X0] :
( ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) )
| ~ spl0_15 ),
inference(resolution,[],[f192,f2]) ).
fof(f192,plain,
( ! [X0] :
( ~ holds(holding(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0) )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f191,plain,
( ! [X0] :
( ~ holds(holding(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(holding(b),X0) )
| ~ spl0_15 ),
inference(resolution,[],[f190,f6]) ).
fof(f190,plain,
( ! [X0] :
( ~ holds(empty,do(putdown(b,c),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0) )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f189]) ).
fof(f189,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,do(putdown(b,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(b),X0) )
| ~ spl0_15 ),
inference(resolution,[],[f178,f8]) ).
fof(f178,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(b,c),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,do(putdown(b,c),X0)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f187,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f185,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f180,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_d) ).
fof(f180,plain,
( ~ differ(c,d)
| spl0_14 ),
inference(resolution,[],[f175,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f175,plain,
( ~ differ(d,c)
| spl0_14 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl0_14
<=> differ(d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f179,plain,
( ~ spl0_14
| spl0_15
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f142,f107,f177,f173]) ).
fof(f107,plain,
( spl0_9
<=> ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(on(b,c),X0)
| ~ holds(empty,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f142,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(b,c),X0))
| ~ holds(empty,do(putdown(b,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(b),X0)
| ~ holds(clear(d),X0)
| ~ differ(d,c) )
| ~ spl0_9 ),
inference(resolution,[],[f111,f10]) ).
fof(f111,plain,
( ! [X0] :
( ~ holds(clear(d),do(putdown(b,c),X0))
| ~ holds(clear(b),do(putdown(b,c),X0))
| ~ holds(empty,do(putdown(b,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(b),X0) )
| ~ spl0_9 ),
inference(resolution,[],[f108,f7]) ).
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/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f108,plain,
( ! [X0] :
( ~ holds(on(b,c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f89,f73,f107,f69]) ).
fof(f69,plain,
( spl0_5
<=> differ(b,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f73,plain,
( spl0_6
<=> ! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(b,c),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f89,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(b,c),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,d) )
| ~ spl0_6 ),
inference(resolution,[],[f74,f5]) ).
fof(f74,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(b,c),X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f102,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f99,f16]) ).
fof(f99,plain,
( ~ differ(b,c)
| spl0_7 ),
inference(resolution,[],[f94,f11]) ).
fof(f94,plain,
( ~ differ(c,b)
| spl0_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f84,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f63,f17]) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_d) ).
fof(f63,plain,
( ~ differ(b,d)
| spl0_2 ),
inference(resolution,[],[f55,f11]) ).
fof(f55,plain,
( ~ differ(d,b)
| spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f81,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f71,f17]) ).
fof(f71,plain,
( ~ differ(b,d)
| spl0_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f78,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f67,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).
fof(f67,plain,
( ~ differ(d,table)
| spl0_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f75,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f47,f73,f69,f65]) ).
fof(f47,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(on(b,c),X0)
| ~ differ(b,d)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(resolution,[],[f45,f2]) ).
fof(f45,plain,
! [X0,X1] :
( ~ holds(holding(d),do(pickup(X0),X1))
| ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(on(b,c),X1)
| ~ differ(b,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/sandbox/benchmark/theBenchmark.p',pickup_3) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(b,c),X0)
| ~ holds(clear(b),X0)
| ~ holds(holding(d),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/sandbox/benchmark/theBenchmark.p',putdown_4) ).
fof(f38,plain,
! [X0] :
( ~ holds(on(b,c),do(putdown(d,b),X0))
| ~ holds(holding(d),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f7,f32]) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(on(b,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(d,b),on(b,c)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DBC) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f62,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f51,f18]) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_table) ).
fof(f51,plain,
( ~ differ(b,table)
| spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA012-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:15:32 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (26539)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (26542)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)
% 0.15/0.38 % (26541)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (26540)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (26544)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (26545)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (26546)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (26543)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,5,max,max]
% 0.15/0.38 TRYING [1,1,1,1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,5,max,max]
% 0.15/0.38 TRYING [1,1,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,1,1]
% 0.15/0.38 TRYING [2,1,1,1]
% 0.15/0.38 TRYING [3,1,1,1]
% 0.15/0.38 TRYING [3,1,1,1]
% 0.15/0.38 TRYING [2,2,1,1]
% 0.15/0.38 TRYING [2,2,1,1]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3,2,1,1]
% 0.15/0.39 TRYING [3,2,1,1]
% 0.15/0.39 TRYING [2,2,2,1]
% 0.15/0.39 TRYING [2,2,2,1]
% 0.15/0.39 TRYING [2,2,1,2]
% 0.15/0.39 TRYING [2,2,1,2]
% 0.15/0.39 % (26542)First to succeed.
% 0.15/0.40 % (26542)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (26542)------------------------------
% 0.15/0.40 % (26542)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (26542)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (26542)Memory used [KB]: 1227
% 0.15/0.40 % (26542)Time elapsed: 0.026 s
% 0.15/0.40 % (26542)Instructions burned: 82 (million)
% 0.15/0.40 % (26542)------------------------------
% 0.15/0.40 % (26542)------------------------------
% 0.15/0.40 % (26539)Success in time 0.035 s
%------------------------------------------------------------------------------