TSTP Solution File: PLA022-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PLA022-2 : 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 : n016.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 18:09:20 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 64 ~; 57 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,plain,
$false,
inference(avatar_sat_refutation,[],[f122,f124,f126,f139,f141,f143,f145]) ).
fof(f145,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| spl0_11 ),
inference(resolution,[],[f138,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f138,plain,
( ~ holds(clear(a),s0)
| spl0_11 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl0_11
<=> holds(clear(a),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f143,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f142,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f134,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f134,plain,
( ~ holds(empty,s0)
| spl0_10 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_10
<=> holds(empty,s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f141,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f70,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f70,plain,
( ~ holds(clear(c),s0)
| spl0_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_2
<=> holds(clear(c),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f139,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f130,f120,f136,f68,f132]) ).
fof(f120,plain,
( spl0_9
<=> ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f130,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ spl0_9 ),
inference(resolution,[],[f121,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f121,plain,
( ! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f126,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f118,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f118,plain,
( ~ differ(a,table)
| spl0_8 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_8
<=> differ(a,table) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f124,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f114,f34]) ).
fof(f34,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(f114,plain,
( ~ differ(c,a)
| spl0_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_7
<=> differ(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f122,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f110,f120,f116,f112]) ).
fof(f110,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ differ(a,table)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ differ(c,a) ),
inference(resolution,[],[f83,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(f83,plain,
! [X2,X3] :
( ~ holds(holding(a),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(clear(c),X3)
| ~ holds(on(c,d),X3) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f82,plain,
! [X2,X3] :
( ~ holds(on(c,d),X3)
| ~ differ(c,X2)
| ~ holds(holding(a),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(clear(c),X3) ),
inference(resolution,[],[f61,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(f61,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)) ),
inference(resolution,[],[f57,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(f57,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f7,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ holds(on(a,c),do(putdown(X0,X1),X2))
| ~ holds(on(c,d),X2) ),
inference(resolution,[],[f46,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(f46,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(a,c),on(c,d)),X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',and_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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PLA022-2 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n016.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 Aug 30 10:31:16 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (23872)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (23869)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (23875)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (23872)First to succeed.
% 0.21/0.52 % (23884)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)
% 0.21/0.52 % (23886)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (23876)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)
% 0.21/0.53 % (23871)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)
% 0.21/0.53 % (23872)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (23872)------------------------------
% 0.21/0.53 % (23872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23872)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (23872)Memory used [KB]: 5500
% 0.21/0.53 % (23872)Time elapsed: 0.113 s
% 0.21/0.53 % (23872)Instructions burned: 4 (million)
% 0.21/0.53 % (23872)------------------------------
% 0.21/0.53 % (23872)------------------------------
% 0.21/0.53 % (23861)Success in time 0.173 s
%------------------------------------------------------------------------------