TSTP Solution File: PLA011-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA011-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 : Thu Aug 31 13:03:30 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 171 ( 3 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 257 ( 142 ~; 115 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 74 (; 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f260,plain,
$false,
inference(subsumption_resolution,[],[f259,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',initial_state6) ).
fof(f259,plain,
~ holds(clear(b),s0),
inference(subsumption_resolution,[],[f258,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',initial_state8) ).
fof(f258,plain,
( ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(subsumption_resolution,[],[f255,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',initial_state7) ).
fof(f255,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f251,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',initial_state3) ).
fof(f251,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f250,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',differ_c_table) ).
fof(f250,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(c,table) ),
inference(subsumption_resolution,[],[f249,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',differ_b_c) ).
fof(f249,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f215,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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',pickup_1) ).
fof(f215,plain,
! [X2,X3] :
( ~ holds(holding(c),do(pickup(X2),X3))
| ~ holds(clear(X2),X3)
| ~ holds(on(X2,d),X3)
| ~ holds(empty,X3)
| ~ holds(clear(b),X3)
| ~ differ(b,X2) ),
inference(resolution,[],[f152,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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',pickup_4) ).
fof(f152,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1)
| ~ holds(empty,X1) ),
inference(resolution,[],[f151,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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',pickup_2) ).
fof(f151,plain,
! [X2] :
( ~ holds(clear(d),X2)
| ~ holds(clear(b),X2)
| ~ holds(holding(c),X2) ),
inference(subsumption_resolution,[],[f150,f17]) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',differ_b_d) ).
fof(f150,plain,
! [X2] :
( ~ differ(b,d)
| ~ holds(clear(d),X2)
| ~ holds(clear(b),X2)
| ~ holds(holding(c),X2) ),
inference(forward_literal_rewriting,[],[f149,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',symmetry_of_differ) ).
fof(f149,plain,
! [X2] :
( ~ holds(clear(d),X2)
| ~ differ(d,b)
| ~ holds(clear(b),X2)
| ~ holds(holding(c),X2) ),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f148,plain,
! [X2] :
( ~ holds(clear(d),X2)
| ~ differ(d,b)
| ~ holds(clear(b),X2)
| ~ holds(holding(c),X2)
| ~ holds(clear(b),X2)
| ~ holds(holding(c),X2) ),
inference(resolution,[],[f146,f46]) ).
fof(f46,plain,
! [X0] :
( holds(sF0,do(putdown(c,b),X0))
| ~ holds(clear(b),X0)
| ~ holds(holding(c),X0) ),
inference(superposition,[],[f7,f32]) ).
fof(f32,plain,
on(c,b) = sF0,
introduced(function_definition,[]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',putdown_2) ).
fof(f146,plain,
! [X3,X4] :
( ~ holds(sF0,do(putdown(c,X3),X4))
| ~ holds(clear(d),X4)
| ~ differ(d,X3)
| ~ holds(clear(X3),X4)
| ~ holds(holding(c),X4) ),
inference(subsumption_resolution,[],[f145,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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',putdown_1) ).
fof(f145,plain,
! [X3,X4] :
( ~ holds(empty,do(putdown(c,X3),X4))
| ~ holds(sF0,do(putdown(c,X3),X4))
| ~ holds(clear(d),X4)
| ~ differ(d,X3)
| ~ holds(clear(X3),X4)
| ~ holds(holding(c),X4) ),
inference(resolution,[],[f98,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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',putdown_3) ).
fof(f98,plain,
! [X6,X4,X5] :
( ~ holds(clear(c),do(putdown(X4,X5),X6))
| ~ holds(empty,do(putdown(X4,X5),X6))
| ~ holds(sF0,do(putdown(X4,X5),X6))
| ~ holds(clear(d),X6)
| ~ differ(d,X5) ),
inference(resolution,[],[f95,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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',putdown_5) ).
fof(f95,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f94,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',differ_c_d) ).
fof(f94,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(sF0,X0)
| ~ differ(c,d) ),
inference(resolution,[],[f93,f42]) ).
fof(f42,plain,
! [X0,X1] :
( holds(sF0,do(pickup(X0),X1))
| ~ holds(sF0,X1)
| ~ differ(c,X0) ),
inference(superposition,[],[f4,f32]) ).
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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',pickup_3) ).
fof(f93,plain,
! [X0] :
( ~ holds(sF0,do(pickup(d),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(subsumption_resolution,[],[f92,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',differ_d_table) ).
fof(f92,plain,
! [X0] :
( ~ holds(sF0,do(pickup(d),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(subsumption_resolution,[],[f91,f19]) ).
fof(f91,plain,
! [X0] :
( ~ holds(sF0,do(pickup(d),X0))
| ~ holds(clear(c),X0)
| ~ differ(c,d)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(resolution,[],[f66,f2]) ).
fof(f66,plain,
! [X2,X3] :
( ~ holds(holding(d),do(pickup(X2),X3))
| ~ holds(sF0,do(pickup(X2),X3))
| ~ holds(clear(c),X3)
| ~ differ(c,X2) ),
inference(resolution,[],[f64,f5]) ).
fof(f64,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(holding(d),X0)
| ~ holds(sF0,X0) ),
inference(resolution,[],[f63,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(sF0,X2) ),
inference(superposition,[],[f9,f32]) ).
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/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',putdown_4) ).
fof(f63,plain,
! [X0] :
( ~ holds(sF0,do(putdown(d,c),X0))
| ~ holds(holding(d),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f47,f37]) ).
fof(f37,plain,
! [X0] :
( ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f36,f35]) ).
fof(f35,plain,
! [X2] : ~ holds(sF2,X2),
inference(definition_folding,[],[f31,f34,f33,f32]) ).
fof(f33,plain,
on(d,c) = sF1,
introduced(function_definition,[]) ).
fof(f34,plain,
and(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(c,b),on(d,c)),X2),
file('/export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',prove_DCB) ).
fof(f36,plain,
! [X0] :
( holds(sF2,X0)
| ~ holds(sF0,X0)
| ~ holds(sF1,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/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219',and_definition) ).
fof(f47,plain,
! [X1] :
( holds(sF1,do(putdown(d,c),X1))
| ~ holds(clear(c),X1)
| ~ holds(holding(d),X1) ),
inference(superposition,[],[f7,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA011-2 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 06:24:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.fS6tCzHOSx/Vampire---4.8_4219
% 0.14/0.37 % (4335)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (4336)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.43 % (4338)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.43 % (4339)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.43 % (4337)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.43 % (4340)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (4342)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.43 % (4344)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.44 % (4340)First to succeed.
% 0.22/0.44 % (4344)Also succeeded, but the first one will report.
% 0.22/0.44 % (4340)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (4340)------------------------------
% 0.22/0.44 % (4340)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (4340)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (4340)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (4340)Memory used [KB]: 5628
% 0.22/0.44 % (4340)Time elapsed: 0.018 s
% 0.22/0.44 % (4340)------------------------------
% 0.22/0.44 % (4340)------------------------------
% 0.22/0.44 % (4335)Success in time 0.076 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------