TSTP Solution File: PLA011-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PLA011-1 : 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 : n019.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 : Sun May 5 08:46:42 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 288 ( 158 ~; 130 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(subsumption_resolution,[],[f168,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
fof(f168,plain,
~ holds(clear(b),s0),
inference(subsumption_resolution,[],[f167,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f167,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0) ),
inference(subsumption_resolution,[],[f166,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).
fof(f166,plain,
( ~ holds(on(c,d),s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f161,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
fof(f161,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f159,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
fof(f159,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c) ),
inference(resolution,[],[f154,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(f154,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f153,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).
fof(f153,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f147,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/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
fof(f147,plain,
! [X0] :
( ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(holding(c),do(pickup(c),X0)) ),
inference(resolution,[],[f116,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/sandbox2/benchmark/theBenchmark.p',putdown_3) ).
fof(f116,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(on(c,d),X0) ),
inference(duplicate_literal_removal,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f112,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/sandbox2/benchmark/theBenchmark.p',pickup_2) ).
fof(f112,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0)) ),
inference(subsumption_resolution,[],[f111,f37]) ).
fof(f37,plain,
differ(d,b),
inference(resolution,[],[f11,f17]) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_d) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f111,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ differ(d,b) ),
inference(resolution,[],[f100,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/sandbox2/benchmark/theBenchmark.p',putdown_5) ).
fof(f100,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f99,f20]) ).
fof(f99,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f92,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( holds(on(X1,X0),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ holds(clear(X0),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table) ),
inference(resolution,[],[f7,f2]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ holds(on(c,b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f79,f2]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(on(c,b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(clear(d),do(putdown(X0,X1),X2)) ),
inference(resolution,[],[f78,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/sandbox2/benchmark/theBenchmark.p',putdown_1) ).
fof(f78,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f76,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).
fof(f76,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,d) ),
inference(resolution,[],[f70,f5]) ).
fof(f70,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0) ),
inference(subsumption_resolution,[],[f69,f19]) ).
fof(f69,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0)
| ~ differ(c,d) ),
inference(resolution,[],[f64,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/sandbox2/benchmark/theBenchmark.p',pickup_3) ).
fof(f64,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0) ),
inference(resolution,[],[f61,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/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
fof(f61,plain,
! [X0] :
( ~ holds(on(c,b),do(putdown(d,c),do(pickup(d),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),do(pickup(d),X0)) ),
inference(subsumption_resolution,[],[f59,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_d_table) ).
fof(f59,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table)
| ~ holds(on(c,b),do(putdown(d,c),do(pickup(d),X0))) ),
inference(resolution,[],[f56,f44]) ).
fof(f44,plain,
! [X0] :
( ~ holds(on(d,c),X0)
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(d,c),on(c,b)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_DCB) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PLA011-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.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 : Fri May 3 18:36:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.36 % (17427)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (17433)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (17432)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (17429)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (17431)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (17434)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)
% 0.22/0.38 % (17430)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)
% 0.22/0.38 % (17428)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.22/0.38 Detected maximum model sizes of [max,5,max,max]
% 0.22/0.38 TRYING [1,1,1,1]
% 0.22/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.22/0.38 Detected maximum model sizes of [max,5,max,max]
% 0.22/0.38 TRYING [1,1,1,1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2,1,1,1]
% 0.22/0.38 TRYING [2,1,1,1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3,1,1,1]
% 0.22/0.38 TRYING [3,1,1,1]
% 0.22/0.38 % (17433)First to succeed.
% 0.22/0.38 TRYING [2,2,1,1]
% 0.22/0.38 TRYING [2,2,1,1]
% 0.22/0.38 % (17430)Also succeeded, but the first one will report.
% 0.22/0.38 % (17433)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17427"
% 0.22/0.39 % (17433)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (17433)------------------------------
% 0.22/0.39 % (17433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (17433)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (17433)Memory used [KB]: 887
% 0.22/0.39 % (17433)Time elapsed: 0.010 s
% 0.22/0.39 % (17433)Instructions burned: 15 (million)
% 0.22/0.39 % (17427)Success in time 0.015 s
%------------------------------------------------------------------------------