TSTP Solution File: PLA016-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PLA016-1 : 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 : n017.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 18:09:18 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 69 ( 20 unt; 0 def)
% Number of atoms : 201 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 264 ( 132 ~; 122 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f301,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f74,f76,f157,f227,f252,f256,f260,f276,f279,f300]) ).
fof(f300,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f299,plain,
( $false
| spl0_21 ),
inference(resolution,[],[f275,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f275,plain,
( ~ differ(a,c)
| spl0_21 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl0_21
<=> differ(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f279,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| spl0_20 ),
inference(resolution,[],[f271,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f271,plain,
( ~ holds(clear(a),s0)
| spl0_20 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl0_20
<=> holds(clear(a),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f276,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_18
| ~ spl0_16
| ~ spl0_17
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f267,f225,f239,f235,f243,f273,f269]) ).
fof(f243,plain,
( spl0_18
<=> differ(c,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f235,plain,
( spl0_16
<=> holds(empty,s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f239,plain,
( spl0_17
<=> holds(clear(c),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f225,plain,
( spl0_15
<=> ! [X9,X8,X10] :
( ~ differ(a,X9)
| ~ holds(empty,X8)
| ~ holds(clear(a),X8)
| ~ holds(on(X9,d),X8)
| ~ holds(clear(X9),X8)
| ~ holds(holding(X10),do(pickup(X9),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f267,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ differ(c,table)
| ~ differ(a,c)
| ~ holds(clear(a),s0)
| ~ spl0_15 ),
inference(resolution,[],[f258,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f258,plain,
( ! [X0,X1] :
( ~ holds(on(X1,d),X0)
| ~ differ(a,X1)
| ~ holds(clear(a),X0)
| ~ differ(X1,table)
| ~ holds(empty,X0)
| ~ holds(clear(X1),X0) )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(X1,d),X0)
| ~ differ(X1,table)
| ~ holds(empty,X0)
| ~ holds(clear(X1),X0)
| ~ differ(a,X1)
| ~ holds(clear(X1),X0) )
| ~ spl0_15 ),
inference(resolution,[],[f226,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f226,plain,
( ! [X10,X8,X9] :
( ~ holds(holding(X10),do(pickup(X9),X8))
| ~ holds(clear(a),X8)
| ~ holds(empty,X8)
| ~ holds(clear(X9),X8)
| ~ differ(a,X9)
| ~ holds(on(X9,d),X8) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f260,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f245,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f245,plain,
( ~ differ(c,table)
| spl0_18 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f256,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| spl0_17 ),
inference(resolution,[],[f241,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f241,plain,
( ~ holds(clear(c),s0)
| spl0_17 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f252,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| spl0_16 ),
inference(resolution,[],[f237,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f237,plain,
( ~ holds(empty,s0)
| spl0_16 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f227,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_15
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f222,f70,f225,f146,f62]) ).
fof(f62,plain,
( spl0_1
<=> differ(d,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f146,plain,
( spl0_9
<=> differ(a,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f70,plain,
( spl0_3
<=> ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f222,plain,
( ! [X10,X8,X9] :
( ~ differ(a,X9)
| ~ differ(a,table)
| ~ holds(holding(X10),do(pickup(X9),X8))
| ~ holds(clear(X9),X8)
| ~ holds(on(X9,d),X8)
| ~ holds(clear(a),X8)
| ~ holds(empty,X8)
| ~ differ(d,table) )
| ~ spl0_3 ),
inference(resolution,[],[f154,f30]) ).
fof(f30,axiom,
! [X2] : holds(clear(table),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).
fof(f154,plain,
( ! [X6,X7,X4,X5] :
( ~ holds(clear(X6),do(pickup(X4),X5))
| ~ holds(clear(a),X5)
| ~ differ(a,X4)
| ~ differ(d,X6)
| ~ holds(holding(X7),do(pickup(X4),X5))
| ~ holds(empty,X5)
| ~ differ(a,X6)
| ~ holds(on(X4,d),X5)
| ~ holds(clear(X4),X5) )
| ~ spl0_3 ),
inference(resolution,[],[f98,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(f98,plain,
( ! [X2,X3,X0,X1] :
( ~ holds(clear(a),do(pickup(X0),X1))
| ~ holds(clear(X0),X1)
| ~ differ(d,X3)
| ~ holds(clear(X3),do(pickup(X0),X1))
| ~ differ(a,X3)
| ~ holds(on(X0,d),X1)
| ~ holds(holding(X2),do(pickup(X0),X1))
| ~ holds(empty,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f91,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(on(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f91,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(d),X1)
| ~ holds(clear(a),X1)
| ~ holds(holding(X2),X1)
| ~ differ(a,X0)
| ~ holds(clear(X0),X1)
| ~ differ(d,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f85,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(f85,plain,
( ! [X2,X0,X1] :
( ~ holds(empty,do(putdown(X0,X1),X2))
| ~ differ(a,X1)
| ~ holds(clear(a),X2)
| ~ differ(d,X1)
| ~ holds(clear(d),X2) )
| ~ spl0_3 ),
inference(resolution,[],[f79,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(f79,plain,
( ! [X6,X4,X5] :
( ~ holds(clear(a),do(putdown(X4,X5),X6))
| ~ holds(empty,do(putdown(X4,X5),X6))
| ~ differ(d,X5)
| ~ holds(clear(d),X6) )
| ~ spl0_3 ),
inference(resolution,[],[f71,f10]) ).
fof(f71,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f157,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f156,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f148,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f148,plain,
( ~ differ(a,table)
| spl0_9 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f76,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f68,f14]) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_d) ).
fof(f68,plain,
( ~ differ(a,d)
| spl0_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_2
<=> differ(a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f74,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f64,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).
fof(f64,plain,
( ~ differ(d,table)
| spl0_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f72,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f60,f70,f66,f62]) ).
fof(f60,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ differ(a,d)
| ~ holds(clear(a),X0)
| ~ differ(d,table)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f56,f2]) ).
fof(f56,plain,
! [X2,X3] :
( ~ holds(holding(d),do(pickup(X2),X3))
| ~ holds(clear(a),X3)
| ~ differ(a,X2) ),
inference(resolution,[],[f53,f5]) ).
fof(f53,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f7,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(on(d,a),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DA) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PLA016-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:31:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (30090)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (30090)Instruction limit reached!
% 0.20/0.50 % (30090)------------------------------
% 0.20/0.50 % (30090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (30086)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (30105)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)
% 0.20/0.50 % (30090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (30090)Termination reason: Unknown
% 0.20/0.50 % (30090)Termination phase: Blocked clause elimination
% 0.20/0.50
% 0.20/0.50 % (30090)Memory used [KB]: 895
% 0.20/0.50 % (30090)Time elapsed: 0.003 s
% 0.20/0.50 % (30090)Instructions burned: 2 (million)
% 0.20/0.50 % (30090)------------------------------
% 0.20/0.50 % (30090)------------------------------
% 0.20/0.50 % (30092)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (30097)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)
% 0.20/0.51 % (30092)First to succeed.
% 0.20/0.51 % (30091)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)
% 0.20/0.51 % (30083)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)
% 0.20/0.51 % (30108)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)
% 0.20/0.52 % (30094)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (30095)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (30093)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)
% 0.20/0.52 % (30097)Also succeeded, but the first one will report.
% 0.20/0.52 % (30092)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (30092)------------------------------
% 0.20/0.52 % (30092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30092)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (30092)Memory used [KB]: 5628
% 0.20/0.52 % (30092)Time elapsed: 0.103 s
% 0.20/0.52 % (30092)Instructions burned: 11 (million)
% 0.20/0.52 % (30092)------------------------------
% 0.20/0.52 % (30092)------------------------------
% 0.20/0.52 % (30081)Success in time 0.163 s
%------------------------------------------------------------------------------