TSTP Solution File: PLA011-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PLA011-1 : 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_uns --cores 0 -t %d %s
% Computer : n011.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 18:08:31 EDT 2022
% Result : Unsatisfiable 1.62s 0.59s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 58 ( 13 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 311 ( 169 ~; 140 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f104,f120]) ).
fof(f120,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f118,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
fof(f118,plain,
( ~ holds(clear(b),s0)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f117,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).
fof(f117,plain,
( ~ holds(on(c,d),s0)
| ~ holds(clear(b),s0)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f115,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f115,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(on(c,d),s0)
| ~ spl0_6 ),
inference(resolution,[],[f114,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
fof(f114,plain,
( ! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ holds(clear(c),X1) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f112,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
fof(f112,plain,
( ! [X1] :
( ~ holds(clear(c),X1)
| ~ holds(clear(b),X1)
| ~ differ(b,c)
| ~ holds(on(c,d),X1)
| ~ holds(empty,X1) )
| ~ spl0_6 ),
inference(resolution,[],[f110,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(f110,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f108,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) )
| ~ spl0_6 ),
inference(resolution,[],[f107,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ holds(on(X0,X1),X2)
| ~ holds(empty,X2)
| holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).
fof(f107,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f106,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).
fof(f106,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ differ(c,table)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0) )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f105,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(c,table) )
| ~ spl0_6 ),
inference(resolution,[],[f100,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table)
| holds(holding(X0),do(pickup(X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
fof(f100,plain,
( ! [X0] :
( ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(pickup(c),X0)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_6
<=> ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(holding(c),do(pickup(c),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f104,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f102,f17]) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_d) ).
fof(f102,plain,
( ~ differ(b,d)
| spl0_5 ),
inference(resolution,[],[f97,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f97,plain,
( ~ differ(d,b)
| spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_5
<=> differ(d,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f101,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f90,f99,f96]) ).
fof(f90,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ differ(d,b)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0)) ),
inference(resolution,[],[f85,f10]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ holds(clear(X3),X2)
| ~ differ(X3,X1)
| holds(clear(X3),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).
fof(f85,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f84,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_3) ).
fof(f84,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0))) ),
inference(subsumption_resolution,[],[f83,f20]) ).
fof(f83,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(holding(c),do(pickup(c),X0))
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(c,table)
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0))) ),
inference(resolution,[],[f79,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ holds(on(c,b),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ holds(clear(X0),do(pickup(X1),X2))
| ~ holds(clear(c),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ holds(clear(d),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ differ(X1,table)
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2) ),
inference(resolution,[],[f62,f2]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2)
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(on(c,b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2)) ),
inference(resolution,[],[f50,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| holds(empty,do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).
fof(f50,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(d),X1)
| ~ holds(clear(c),X1)
| ~ holds(on(c,b),X1) ),
inference(subsumption_resolution,[],[f48,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).
fof(f48,plain,
! [X1] :
( ~ differ(c,d)
| ~ holds(clear(d),X1)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(on(c,b),X1) ),
inference(resolution,[],[f46,f5]) ).
fof(f46,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(on(c,b),X0) ),
inference(subsumption_resolution,[],[f45,f19]) ).
fof(f45,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ differ(c,d)
| ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f43,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ holds(on(X0,X1),X2)
| ~ differ(X0,X3)
| holds(on(X0,X1),do(pickup(X3),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).
fof(f43,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(clear(d),X0) ),
inference(subsumption_resolution,[],[f42,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_d_table) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(d),X0))
| ~ differ(d,table)
| ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f39,f2]) ).
fof(f39,plain,
! [X0] :
( ~ holds(holding(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f33,f9]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ holds(on(X0,X1),X2)
| holds(on(X0,X1),do(putdown(X3,X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
fof(f33,plain,
! [X0] :
( ~ holds(on(c,b),do(putdown(d,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f32,f7]) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(d,c),X0)
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f31,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ holds(X1,X2)
| holds(and(X0,X1),X2)
| ~ holds(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(d,c),on(c,b)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_DCB) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA011-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n011.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 10:02:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (21601)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.57 % (21618)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.57 % (21610)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.58 % (21602)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.58 % (21602)Refutation not found, incomplete strategy% (21602)------------------------------
% 1.62/0.58 % (21602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (21602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (21602)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.58
% 1.62/0.58 % (21602)Memory used [KB]: 5884
% 1.62/0.58 % (21602)Time elapsed: 0.093 s
% 1.62/0.58 % (21602)Instructions burned: 2 (million)
% 1.62/0.58 % (21602)------------------------------
% 1.62/0.58 % (21602)------------------------------
% 1.62/0.59 % (21610)Instruction limit reached!
% 1.62/0.59 % (21610)------------------------------
% 1.62/0.59 % (21610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (21610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (21610)Termination reason: Unknown
% 1.62/0.59 % (21610)Termination phase: Finite model building constraint generation
% 1.62/0.59
% 1.62/0.59 % (21610)Memory used [KB]: 6012
% 1.62/0.59 % (21610)Time elapsed: 0.013 s
% 1.62/0.59 % (21610)Instructions burned: 6 (million)
% 1.62/0.59 % (21610)------------------------------
% 1.62/0.59 % (21610)------------------------------
% 1.62/0.59 % (21609)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.62/0.59 % (21618)First to succeed.
% 1.62/0.59 % (21618)Refutation found. Thanks to Tanya!
% 1.62/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.62/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.59 % (21618)------------------------------
% 1.62/0.59 % (21618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (21618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (21618)Termination reason: Refutation
% 1.62/0.59
% 1.62/0.59 % (21618)Memory used [KB]: 5884
% 1.62/0.59 % (21618)Time elapsed: 0.088 s
% 1.62/0.59 % (21618)Instructions burned: 7 (million)
% 1.62/0.59 % (21618)------------------------------
% 1.62/0.59 % (21618)------------------------------
% 1.62/0.59 % (21594)Success in time 0.235 s
%------------------------------------------------------------------------------