TSTP Solution File: PLA018-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PLA018-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : 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 18:09:19 EDT 2022
% Result : Unsatisfiable 1.84s 0.60s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 49
% Syntax : Number of formulae : 143 ( 36 unt; 0 def)
% Number of atoms : 436 ( 3 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 597 ( 304 ~; 273 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f675,plain,
$false,
inference(avatar_sat_refutation,[],[f120,f122,f160,f162,f164,f173,f175,f222,f274,f333,f506,f585,f591,f596,f613,f657,f666,f668,f670,f672,f674]) ).
fof(f674,plain,
spl3_60,
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| spl3_60 ),
inference(resolution,[],[f665,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f665,plain,
( ~ holds(clear(b),s0)
| spl3_60 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl3_60
<=> holds(clear(b),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
fof(f672,plain,
spl3_57,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| spl3_57 ),
inference(resolution,[],[f604,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f604,plain,
( ~ holds(clear(c),s0)
| spl3_57 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl3_57
<=> holds(clear(c),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).
fof(f670,plain,
spl3_11,
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f669,plain,
( $false
| spl3_11 ),
inference(resolution,[],[f146,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f146,plain,
( ~ holds(empty,s0)
| spl3_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl3_11
<=> holds(empty,s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f668,plain,
spl3_10,
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| spl3_10 ),
inference(resolution,[],[f142,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f142,plain,
( ~ holds(clear(a),s0)
| spl3_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl3_10
<=> holds(clear(a),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f666,plain,
( ~ spl3_10
| ~ spl3_60
| ~ spl3_11
| ~ spl3_57
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f661,f655,f602,f144,f663,f140]) ).
fof(f655,plain,
( spl3_59
<=> ! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f661,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| ~ spl3_59 ),
inference(resolution,[],[f656,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f656,plain,
( ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) )
| ~ spl3_59 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f657,plain,
( ~ spl3_5
| ~ spl3_6
| ~ spl3_44
| spl3_59
| ~ spl3_58 ),
inference(avatar_split_clause,[],[f653,f611,f655,f498,f112,f108]) ).
fof(f108,plain,
( spl3_5
<=> differ(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f112,plain,
( spl3_6
<=> differ(a,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f498,plain,
( spl3_44
<=> differ(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f611,plain,
( spl3_58
<=> ! [X3] :
( ~ holds(holding(a),X3)
| ~ holds(clear(c),X3)
| ~ holds(clear(b),X3)
| ~ holds(empty,do(putdown(a,b),X3))
| ~ holds(on(c,d),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).
fof(f653,plain,
( ! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ differ(c,a)
| ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(b,a)
| ~ holds(on(c,d),X0) )
| ~ spl3_58 ),
inference(resolution,[],[f652,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f652,plain,
( ! [X2,X3] :
( ~ holds(holding(a),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(clear(c),X3)
| ~ differ(b,X2)
| ~ holds(on(c,d),X3)
| ~ holds(clear(b),X3) )
| ~ spl3_58 ),
inference(resolution,[],[f650,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ differ(X0,X3)
| ~ holds(clear(X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f650,plain,
( ! [X2,X3] :
( ~ holds(clear(b),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(clear(c),X3)
| ~ holds(holding(a),do(pickup(X2),X3))
| ~ holds(on(c,d),X3) )
| ~ spl3_58 ),
inference(duplicate_literal_removal,[],[f649]) ).
fof(f649,plain,
( ! [X2,X3] :
( ~ differ(c,X2)
| ~ holds(clear(b),do(pickup(X2),X3))
| ~ holds(holding(a),do(pickup(X2),X3))
| ~ holds(on(c,d),X3)
| ~ differ(c,X2)
| ~ holds(clear(c),X3) )
| ~ spl3_58 ),
inference(resolution,[],[f623,f5]) ).
fof(f623,plain,
( ! [X4,X5] :
( ~ holds(clear(c),do(pickup(X4),X5))
| ~ differ(c,X4)
| ~ holds(on(c,d),X5)
| ~ holds(holding(a),do(pickup(X4),X5))
| ~ holds(clear(b),do(pickup(X4),X5)) )
| ~ spl3_58 ),
inference(resolution,[],[f620,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(f620,plain,
( ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(holding(a),X0) )
| ~ spl3_58 ),
inference(duplicate_literal_removal,[],[f619]) ).
fof(f619,plain,
( ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(b),X0)
| ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) )
| ~ spl3_58 ),
inference(resolution,[],[f612,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_1) ).
fof(f612,plain,
( ! [X3] :
( ~ holds(empty,do(putdown(a,b),X3))
| ~ holds(on(c,d),X3)
| ~ holds(clear(b),X3)
| ~ holds(holding(a),X3)
| ~ holds(clear(c),X3) )
| ~ spl3_58 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f613,plain,
( ~ spl3_26
| spl3_58
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f609,f594,f611,f267]) ).
fof(f267,plain,
( spl3_26
<=> differ(c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f594,plain,
( spl3_56
<=> ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(sF0,X0)
| ~ holds(clear(c),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
fof(f609,plain,
( ! [X3] :
( ~ holds(holding(a),X3)
| ~ differ(c,b)
| ~ holds(on(c,d),X3)
| ~ holds(empty,do(putdown(a,b),X3))
| ~ holds(clear(b),X3)
| ~ holds(clear(c),X3) )
| ~ spl3_56 ),
inference(resolution,[],[f606,f63]) ).
fof(f63,plain,
! [X0] :
( holds(sF0,do(putdown(a,b),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0) ),
inference(superposition,[],[f7,f32]) ).
fof(f32,plain,
on(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f606,plain,
( ! [X2,X0,X1] :
( ~ holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(clear(c),X2)
| ~ holds(on(c,d),X2)
| ~ differ(c,X1) )
| ~ spl3_56 ),
inference(resolution,[],[f597,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(f597,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(on(c,d),X2) )
| ~ spl3_56 ),
inference(resolution,[],[f595,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(f595,plain,
( ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(sF0,X0) )
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f596,plain,
( ~ spl3_20
| spl3_56
| ~ spl3_55 ),
inference(avatar_split_clause,[],[f592,f589,f594,f212]) ).
fof(f212,plain,
( spl3_20
<=> differ(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f589,plain,
( spl3_55
<=> ! [X0] :
( ~ holds(empty,X0)
| ~ holds(sF0,do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).
fof(f592,plain,
( ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(sF0,X0)
| ~ differ(a,c)
| ~ holds(empty,X0) )
| ~ spl3_55 ),
inference(resolution,[],[f590,f60]) ).
fof(f60,plain,
! [X0,X1] :
( holds(sF0,do(pickup(X0),X1))
| ~ holds(sF0,X1)
| ~ differ(a,X0) ),
inference(superposition,[],[f4,f32]) ).
fof(f590,plain,
( ! [X0] :
( ~ holds(sF0,do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) )
| ~ spl3_55 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f591,plain,
( ~ spl3_29
| spl3_55
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f587,f583,f589,f323]) ).
fof(f323,plain,
( spl3_29
<=> differ(c,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f583,plain,
( spl3_54
<=> ! [X6,X7] :
( ~ holds(sF0,do(pickup(X7),X6))
| ~ holds(holding(c),do(pickup(X7),X6))
| ~ holds(clear(X7),X6)
| ~ holds(on(X7,d),X6)
| ~ holds(empty,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
fof(f587,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(sF0,do(pickup(c),X0))
| ~ differ(c,table) )
| ~ spl3_54 ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f586,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(sF0,do(pickup(c),X0))
| ~ holds(on(c,d),X0) )
| ~ spl3_54 ),
inference(resolution,[],[f584,f2]) ).
fof(f584,plain,
( ! [X6,X7] :
( ~ holds(holding(c),do(pickup(X7),X6))
| ~ holds(on(X7,d),X6)
| ~ holds(clear(X7),X6)
| ~ holds(empty,X6)
| ~ holds(sF0,do(pickup(X7),X6)) )
| ~ spl3_54 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f585,plain,
( ~ spl3_12
| spl3_54
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f580,f171,f583,f150]) ).
fof(f150,plain,
( spl3_12
<=> differ(d,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f171,plain,
( spl3_16
<=> ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(sF0,X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f580,plain,
( ! [X6,X7] :
( ~ holds(sF0,do(pickup(X7),X6))
| ~ holds(empty,X6)
| ~ differ(d,table)
| ~ holds(on(X7,d),X6)
| ~ holds(clear(X7),X6)
| ~ holds(holding(c),do(pickup(X7),X6)) )
| ~ spl3_16 ),
inference(resolution,[],[f295,f30]) ).
fof(f30,axiom,
! [X2] : holds(clear(table),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(X0),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(sF0,do(pickup(X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(c),do(pickup(X1),X2))
| ~ holds(on(X1,d),X2)
| ~ differ(d,X0) )
| ~ spl3_16 ),
inference(resolution,[],[f294,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(on(X0,X1),X2)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f294,plain,
( ! [X0,X1] :
( ~ holds(clear(d),X0)
| ~ holds(clear(X1),X0)
| ~ differ(d,X1)
| ~ holds(holding(c),X0)
| ~ holds(sF0,X0) )
| ~ spl3_16 ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f293,plain,
( ! [X0,X1] :
( ~ holds(clear(d),X0)
| ~ holds(holding(c),X0)
| ~ holds(sF0,X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(X1),X0)
| ~ differ(d,X1)
| ~ holds(clear(X1),X0) )
| ~ spl3_16 ),
inference(resolution,[],[f292,f6]) ).
fof(f292,plain,
( ! [X0,X1] :
( ~ holds(empty,do(putdown(c,X1),X0))
| ~ holds(sF0,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(X1),X0)
| ~ differ(d,X1)
| ~ holds(holding(c),X0) )
| ~ spl3_16 ),
inference(resolution,[],[f256,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(sF0,X2) ),
inference(superposition,[],[f9,f32]) ).
fof(f256,plain,
( ! [X3,X4] :
( ~ holds(sF0,do(putdown(c,X3),X4))
| ~ holds(clear(d),X4)
| ~ holds(clear(X3),X4)
| ~ differ(d,X3)
| ~ holds(empty,do(putdown(c,X3),X4))
| ~ holds(holding(c),X4) )
| ~ spl3_16 ),
inference(resolution,[],[f178,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).
fof(f178,plain,
( ! [X6,X4,X5] :
( ~ holds(clear(c),do(putdown(X4,X5),X6))
| ~ holds(empty,do(putdown(X4,X5),X6))
| ~ differ(d,X5)
| ~ holds(clear(d),X6)
| ~ holds(sF0,do(putdown(X4,X5),X6)) )
| ~ spl3_16 ),
inference(resolution,[],[f172,f10]) ).
fof(f172,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(sF0,X0)
| ~ holds(clear(c),X0) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f506,plain,
spl3_44,
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| spl3_44 ),
inference(resolution,[],[f500,f38]) ).
fof(f38,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f500,plain,
( ~ differ(c,a)
| spl3_44 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f333,plain,
spl3_29,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| spl3_29 ),
inference(resolution,[],[f325,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f325,plain,
( ~ differ(c,table)
| spl3_29 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f274,plain,
spl3_26,
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| spl3_26 ),
inference(resolution,[],[f269,f40]) ).
fof(f40,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f269,plain,
( ~ differ(c,b)
| spl3_26 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f222,plain,
spl3_20,
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| spl3_20 ),
inference(resolution,[],[f214,f13]) ).
fof(f214,plain,
( ~ differ(a,c)
| spl3_20 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f175,plain,
spl3_15,
inference(avatar_contradiction_clause,[],[f174]) ).
fof(f174,plain,
( $false
| spl3_15 ),
inference(resolution,[],[f169,f14]) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_d) ).
fof(f169,plain,
( ~ differ(a,d)
| spl3_15 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl3_15
<=> differ(a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f173,plain,
( ~ spl3_15
| spl3_16
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f165,f154,f171,f167]) ).
fof(f154,plain,
( spl3_13
<=> ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(sF0,do(pickup(d),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f165,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ differ(a,d)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(sF0,X0) )
| ~ spl3_13 ),
inference(resolution,[],[f155,f60]) ).
fof(f155,plain,
( ! [X0] :
( ~ holds(sF0,do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f164,plain,
spl3_14,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| spl3_14 ),
inference(resolution,[],[f159,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_d) ).
fof(f159,plain,
( ~ differ(c,d)
| spl3_14 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl3_14
<=> differ(c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f162,plain,
spl3_12,
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| spl3_12 ),
inference(resolution,[],[f152,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).
fof(f152,plain,
( ~ differ(d,table)
| spl3_12 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f160,plain,
( ~ spl3_12
| spl3_13
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f148,f157,f154,f150]) ).
fof(f148,plain,
! [X0] :
( ~ differ(c,d)
| ~ holds(empty,X0)
| ~ holds(sF0,do(pickup(d),X0))
| ~ differ(d,table)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f91,f2]) ).
fof(f91,plain,
! [X2,X3] :
( ~ holds(holding(d),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(sF0,do(pickup(X2),X3))
| ~ holds(clear(c),X3) ),
inference(resolution,[],[f89,f5]) ).
fof(f89,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(holding(d),X0)
| ~ holds(sF0,X0) ),
inference(resolution,[],[f70,f57]) ).
fof(f70,plain,
! [X3] :
( ~ holds(sF0,do(putdown(d,c),X3))
| ~ holds(holding(d),X3)
| ~ holds(clear(c),X3) ),
inference(resolution,[],[f68,f64]) ).
fof(f64,plain,
! [X1] :
( holds(sF1,do(putdown(d,c),X1))
| ~ holds(clear(c),X1)
| ~ holds(holding(d),X1) ),
inference(superposition,[],[f7,f33]) ).
fof(f33,plain,
on(d,c) = sF1,
introduced(function_definition,[]) ).
fof(f68,plain,
! [X0] :
( ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(resolution,[],[f66,f35]) ).
fof(f35,plain,
! [X2] : ~ holds(sF2,X2),
inference(definition_folding,[],[f31,f34,f33,f32]) ).
fof(f34,plain,
sF2 = and(sF0,sF1),
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(a,b),on(d,c)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AB_DC) ).
fof(f66,plain,
! [X2,X0,X1] :
( holds(sF2,do(putdown(X1,X2),X0))
| ~ holds(sF0,X0)
| ~ holds(sF1,X0) ),
inference(resolution,[],[f59,f57]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ holds(sF0,do(putdown(X1,X2),X0))
| ~ holds(sF1,X0)
| holds(sF2,do(putdown(X1,X2),X0)) ),
inference(resolution,[],[f58,f48]) ).
fof(f48,plain,
! [X0] :
( ~ holds(sF1,X0)
| ~ holds(sF0,X0)
| holds(sF2,X0) ),
inference(superposition,[],[f1,f34]) ).
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(f58,plain,
! [X3,X4,X5] :
( holds(sF1,do(putdown(X3,X4),X5))
| ~ holds(sF1,X5) ),
inference(superposition,[],[f9,f33]) ).
fof(f122,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| spl3_6 ),
inference(resolution,[],[f114,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f114,plain,
( ~ differ(a,table)
| spl3_6 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f120,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| spl3_5 ),
inference(resolution,[],[f110,f37]) ).
fof(f37,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f110,plain,
( ~ differ(b,a)
| spl3_5 ),
inference(avatar_component_clause,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : PLA018-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:07:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (23644)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (23637)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (23645)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (23646)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (23645)Instruction limit reached!
% 0.19/0.52 % (23645)------------------------------
% 0.19/0.52 % (23645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23645)Termination reason: Unknown
% 0.19/0.52 % (23645)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (23645)Memory used [KB]: 5373
% 0.19/0.52 % (23645)Time elapsed: 0.002 s
% 0.19/0.52 % (23645)Instructions burned: 2 (million)
% 0.19/0.52 % (23645)------------------------------
% 0.19/0.52 % (23645)------------------------------
% 0.19/0.52 % (23642)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (23639)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (23666)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52 % (23659)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (23658)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (23664)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (23653)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (23643)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (23641)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (23648)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (23655)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (23652)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (23665)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (23657)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (23640)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (23650)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (23661)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (23656)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (23663)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (23651)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (23649)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (23647)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (23660)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55 % (23644)Instruction limit reached!
% 0.19/0.55 % (23644)------------------------------
% 0.19/0.55 % (23644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (23644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (23644)Termination reason: Unknown
% 0.19/0.55 % (23644)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (23644)Memory used [KB]: 5500
% 0.19/0.55 % (23644)Time elapsed: 0.150 s
% 0.19/0.55 % (23644)Instructions burned: 8 (million)
% 0.19/0.55 % (23644)------------------------------
% 0.19/0.55 % (23644)------------------------------
% 0.19/0.55 % (23638)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (23662)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55 % (23638)Refutation not found, incomplete strategy% (23638)------------------------------
% 0.19/0.55 % (23638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (23638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (23638)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (23638)Memory used [KB]: 5373
% 0.19/0.55 % (23638)Time elapsed: 0.157 s
% 0.19/0.55 % (23638)Instructions burned: 1 (million)
% 0.19/0.55 % (23638)------------------------------
% 0.19/0.55 % (23638)------------------------------
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (23654)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.56 TRYING [4]
% 1.49/0.56 TRYING [1]
% 1.49/0.56 TRYING [2]
% 1.49/0.57 TRYING [3]
% 1.49/0.58 % (23639)Instruction limit reached!
% 1.49/0.58 % (23639)------------------------------
% 1.49/0.58 % (23639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (23639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (23639)Termination reason: Unknown
% 1.49/0.58 % (23639)Termination phase: Saturation
% 1.49/0.58
% 1.49/0.58 % (23639)Memory used [KB]: 1151
% 1.49/0.58 % (23639)Time elapsed: 0.186 s
% 1.49/0.58 % (23639)Instructions burned: 38 (million)
% 1.49/0.58 % (23639)------------------------------
% 1.49/0.58 % (23639)------------------------------
% 1.84/0.60 % (23640)First to succeed.
% 1.84/0.60 % (23646)Instruction limit reached!
% 1.84/0.60 % (23646)------------------------------
% 1.84/0.60 % (23646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (23646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (23646)Termination reason: Unknown
% 1.84/0.60 % (23646)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (23646)Memory used [KB]: 1151
% 1.84/0.60 % (23646)Time elapsed: 0.183 s
% 1.84/0.60 % (23646)Instructions burned: 52 (million)
% 1.84/0.60 % (23646)------------------------------
% 1.84/0.60 % (23646)------------------------------
% 1.84/0.60 % (23642)Instruction limit reached!
% 1.84/0.60 % (23642)------------------------------
% 1.84/0.60 % (23642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (23642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (23642)Termination reason: Unknown
% 1.84/0.60 % (23642)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (23642)Memory used [KB]: 5756
% 1.84/0.60 % (23642)Time elapsed: 0.201 s
% 1.84/0.60 % (23642)Instructions burned: 48 (million)
% 1.84/0.60 % (23642)------------------------------
% 1.84/0.60 % (23642)------------------------------
% 1.84/0.60 % (23640)Refutation found. Thanks to Tanya!
% 1.84/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.84/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.61 % (23640)------------------------------
% 1.84/0.61 % (23640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (23640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (23640)Termination reason: Refutation
% 1.84/0.61
% 1.84/0.61 % (23640)Memory used [KB]: 5884
% 1.84/0.61 % (23640)Time elapsed: 0.202 s
% 1.84/0.61 % (23640)Instructions burned: 41 (million)
% 1.84/0.61 % (23640)------------------------------
% 1.84/0.61 % (23640)------------------------------
% 1.84/0.61 % (23636)Success in time 0.251 s
%------------------------------------------------------------------------------