TSTP Solution File: PLA005-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA005-2 : 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 : n002.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 13:03:28 EDT 2023
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 24
% Syntax : Number of formulae : 55 ( 16 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 321 ( 176 ~; 145 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 64 (; 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f507,plain,
$false,
inference(resolution,[],[f506,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',initial_state8) ).
fof(f506,plain,
~ holds(empty,s0),
inference(resolution,[],[f505,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',initial_state5) ).
fof(f505,plain,
( ~ holds(clear(a),s0)
| ~ holds(empty,s0) ),
inference(resolution,[],[f504,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',initial_state6) ).
fof(f504,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0) ),
inference(resolution,[],[f503,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',initial_state7) ).
fof(f503,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0) ),
inference(resolution,[],[f498,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',initial_state3) ).
fof(f498,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f496,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_a_c) ).
fof(f496,plain,
! [X0] :
( ~ differ(a,c)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f494,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_b_c) ).
fof(f494,plain,
! [X0] :
( ~ differ(b,c)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ differ(a,c)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f493,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_c_table) ).
fof(f493,plain,
! [X0] :
( ~ differ(c,table)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ differ(b,c)
| ~ holds(clear(b),X0)
| ~ differ(a,c)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(duplicate_literal_removal,[],[f492]) ).
fof(f492,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ differ(b,c)
| ~ holds(clear(b),X0)
| ~ differ(a,c)
| ~ holds(clear(a),X0)
| ~ differ(c,table)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f441,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( ~ differ(X0,table)
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| holds(holding(X0),do(pickup(X0),X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',pickup_1) ).
fof(f441,plain,
! [X2,X3] :
( ~ holds(holding(c),do(pickup(X2),X3))
| ~ holds(empty,X3)
| ~ holds(clear(X2),X3)
| ~ holds(on(X2,d),X3)
| ~ differ(b,X2)
| ~ holds(clear(b),X3)
| ~ differ(a,X2)
| ~ holds(clear(a),X3) ),
inference(resolution,[],[f370,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( ~ differ(X0,X3)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X3),X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',pickup_4) ).
fof(f370,plain,
! [X2,X3] :
( ~ holds(clear(a),do(pickup(X2),X3))
| ~ holds(holding(c),do(pickup(X2),X3))
| ~ holds(empty,X3)
| ~ holds(clear(X2),X3)
| ~ holds(on(X2,d),X3)
| ~ differ(b,X2)
| ~ holds(clear(b),X3) ),
inference(resolution,[],[f277,f5]) ).
fof(f277,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(clear(a),do(pickup(X0),X1))
| ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1) ),
inference(resolution,[],[f276,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ holds(on(X0,X1),X2)
| holds(clear(X1),do(pickup(X0),X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',pickup_2) ).
fof(f276,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(holding(c),X0) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f273,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2)
| holds(empty,do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',putdown_1) ).
fof(f273,plain,
! [X0] :
( ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f272,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_a_b) ).
fof(f272,plain,
! [X0] :
( ~ differ(a,b)
| ~ holds(clear(d),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,do(putdown(c,a),X0)) ),
inference(resolution,[],[f271,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',symmetry_of_differ) ).
fof(f271,plain,
! [X0] :
( ~ differ(b,a)
| ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f269,f10]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X3,X1)
| ~ holds(clear(X3),X2)
| holds(clear(X3),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',putdown_5) ).
fof(f269,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(c),X0) ),
inference(resolution,[],[f268,f14]) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_a_d) ).
fof(f268,plain,
! [X0] :
( ~ differ(a,d)
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(b),do(putdown(c,a),X0)) ),
inference(resolution,[],[f267,f11]) ).
fof(f267,plain,
! [X0] :
( ~ differ(d,a)
| ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,do(putdown(c,a),X0))
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f71,f10]) ).
fof(f71,plain,
! [X3] :
( ~ holds(clear(d),do(putdown(c,a),X3))
| ~ holds(empty,do(putdown(c,a),X3))
| ~ holds(clear(b),do(putdown(c,a),X3))
| ~ holds(holding(c),X3)
| ~ holds(clear(a),X3) ),
inference(resolution,[],[f68,f7]) ).
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/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',putdown_2) ).
fof(f68,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f66,f17]) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_b_d) ).
fof(f66,plain,
! [X0] :
( ~ differ(b,d)
| ~ holds(clear(b),X0)
| ~ holds(on(c,a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f64,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_c_d) ).
fof(f64,plain,
! [X0] :
( ~ differ(c,d)
| ~ differ(b,d)
| ~ holds(clear(b),X0)
| ~ holds(on(c,a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f55,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',differ_d_table) ).
fof(f55,plain,
! [X0] :
( ~ differ(d,table)
| ~ holds(on(c,a),X0)
| ~ differ(b,d)
| ~ holds(clear(b),X0)
| ~ differ(c,d)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f53,f2]) ).
fof(f53,plain,
! [X2,X3] :
( ~ holds(holding(d),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(on(c,a),X3)
| ~ differ(b,X2)
| ~ holds(clear(b),X3) ),
inference(resolution,[],[f45,f5]) ).
fof(f45,plain,
! [X4,X5] :
( ~ holds(clear(b),do(pickup(X4),X5))
| ~ holds(holding(d),do(pickup(X4),X5))
| ~ differ(c,X4)
| ~ holds(on(c,a),X5) ),
inference(resolution,[],[f42,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X3)
| ~ holds(on(X0,X1),X2)
| holds(on(X0,X1),do(pickup(X3),X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',pickup_3) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(clear(b),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f34,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/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',putdown_4) ).
fof(f34,plain,
! [X3] :
( ~ holds(on(c,a),do(putdown(d,b),X3))
| ~ holds(holding(d),X3)
| ~ holds(clear(b),X3) ),
inference(resolution,[],[f32,f7]) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(on(c,a),X0) ),
inference(resolution,[],[f31,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ holds(X1,X2)
| ~ holds(X0,X2)
| holds(and(X0,X1),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',and_definition) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(d,b),on(c,a)),X2),
file('/export/starexec/sandbox2/tmp/tmp.MZQB2WAGmF/Vampire---4.8_19569',prove_DB_AC) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PLA005-2 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n002.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 05:51:18 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.MZQB2WAGmF/Vampire---4.8_19569
% 0.14/0.36 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (19688)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)
% 0.20/0.41 % (19686)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)
% 0.20/0.41 % (19692)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)
% 0.20/0.42 % (19689)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)
% 0.20/0.42 % (19690)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)
% 0.20/0.42 % (19687)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)
% 0.20/0.42 % (19691)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)
% 0.20/0.44 % (19692)First to succeed.
% 0.20/0.44 % (19692)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.44 % (19692)------------------------------
% 0.20/0.44 % (19692)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.44 % (19692)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.44 % (19692)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (19692)Memory used [KB]: 1279
% 0.20/0.44 % (19692)Time elapsed: 0.026 s
% 0.20/0.44 % (19692)------------------------------
% 0.20/0.44 % (19692)------------------------------
% 0.20/0.44 % (19685)Success in time 0.075 s
% 0.20/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------