TSTP Solution File: PLA009-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA009-2 : 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 : n014.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 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 264 ( 145 ~; 119 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 62 (; 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f357,plain,
$false,
inference(resolution,[],[f356,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',initial_state8) ).
fof(f356,plain,
~ holds(empty,s0),
inference(resolution,[],[f355,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',initial_state5) ).
fof(f355,plain,
( ~ holds(clear(a),s0)
| ~ holds(empty,s0) ),
inference(resolution,[],[f354,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',initial_state6) ).
fof(f354,plain,
( ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f353,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',initial_state7) ).
fof(f353,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f348,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',initial_state3) ).
fof(f348,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f346,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',differ_a_table) ).
fof(f346,plain,
! [X0] :
( ~ differ(a,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[],[f344,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',differ_a_b) ).
fof(f344,plain,
! [X0] :
( ~ differ(a,b)
| ~ holds(clear(b),X0)
| ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[],[f343,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',differ_a_c) ).
fof(f343,plain,
! [X0] :
( ~ differ(a,c)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ differ(a,b) ),
inference(resolution,[],[f342,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',symmetry_of_differ) ).
fof(f342,plain,
! [X0] :
( ~ differ(b,a)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,c) ),
inference(resolution,[],[f340,f11]) ).
fof(f340,plain,
! [X0] :
( ~ differ(c,a)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ differ(b,a)
| ~ holds(clear(b),X0)
| ~ differ(a,table)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f339,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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',pickup_1) ).
fof(f339,plain,
! [X2,X3] :
( ~ holds(holding(a),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(on(c,d),X3)
| ~ holds(clear(c),X3)
| ~ differ(b,X2)
| ~ holds(clear(b),X3) ),
inference(resolution,[],[f337,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( ~ differ(X0,X3)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X3),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',pickup_4) ).
fof(f337,plain,
! [X2,X3] :
( ~ holds(clear(b),do(pickup(X2),X3))
| ~ holds(holding(a),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(on(c,d),X3)
| ~ holds(clear(c),X3) ),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f336,plain,
! [X2,X3] :
( ~ holds(holding(a),do(pickup(X2),X3))
| ~ holds(clear(b),do(pickup(X2),X3))
| ~ differ(c,X2)
| ~ holds(on(c,d),X3)
| ~ differ(c,X2)
| ~ holds(clear(c),X3) ),
inference(resolution,[],[f270,f5]) ).
fof(f270,plain,
! [X4,X5] :
( ~ holds(clear(c),do(pickup(X4),X5))
| ~ holds(holding(a),do(pickup(X4),X5))
| ~ holds(clear(b),do(pickup(X4),X5))
| ~ differ(c,X4)
| ~ holds(on(c,d),X5) ),
inference(resolution,[],[f267,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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',pickup_3) ).
fof(f267,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0) ),
inference(duplicate_literal_removal,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f264,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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',putdown_1) ).
fof(f264,plain,
! [X0] :
( ~ holds(empty,do(putdown(a,b),X0))
| ~ holds(clear(b),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[],[f263,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',differ_b_c) ).
fof(f263,plain,
! [X0] :
( ~ differ(b,c)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,do(putdown(a,b),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[],[f262,f11]) ).
fof(f262,plain,
! [X0] :
( ~ differ(c,b)
| ~ holds(on(c,d),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,do(putdown(a,b),X0))
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f234,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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',putdown_5) ).
fof(f234,plain,
! [X3] :
( ~ holds(clear(c),do(putdown(a,b),X3))
| ~ holds(empty,do(putdown(a,b),X3))
| ~ holds(on(c,d),X3)
| ~ holds(holding(a),X3)
| ~ holds(clear(b),X3) ),
inference(resolution,[],[f62,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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',putdown_2) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ holds(on(a,b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(on(c,d),X2) ),
inference(resolution,[],[f53,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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',putdown_4) ).
fof(f53,plain,
! [X2] :
( ~ holds(on(c,d),X2)
| ~ holds(empty,X2)
| ~ holds(clear(c),X2)
| ~ holds(on(a,b),X2) ),
inference(resolution,[],[f41,f13]) ).
fof(f41,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(on(a,b),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1) ),
inference(resolution,[],[f35,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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',pickup_2) ).
fof(f35,plain,
! [X4,X5] :
( ~ holds(clear(d),do(pickup(X4),X5))
| ~ differ(a,X4)
| ~ holds(on(a,b),X5) ),
inference(resolution,[],[f32,f4]) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(d),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/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',and_definition) ).
fof(f31,axiom,
! [X2] : ~ holds(and(clear(d),on(a,b)),X2),
file('/export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449',prove_D_AB) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA009-2 : 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
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 06:01:16 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.oribp0Tr3h/Vampire---4.8_7449
% 0.15/0.37 % (7562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7563)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)
% 0.21/0.43 % (7565)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)
% 0.21/0.43 % (7568)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)
% 0.21/0.43 % (7566)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)
% 0.21/0.43 % (7569)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)
% 0.21/0.43 % (7567)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)
% 0.21/0.43 % (7564)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)
% 0.21/0.45 % (7569)First to succeed.
% 0.21/0.45 % (7565)Also succeeded, but the first one will report.
% 0.21/0.45 % (7569)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45 % (7569)------------------------------
% 0.21/0.45 % (7569)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (7569)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (7569)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (7569)Memory used [KB]: 1151
% 0.21/0.45 % (7569)Time elapsed: 0.022 s
% 0.21/0.45 % (7569)------------------------------
% 0.21/0.45 % (7569)------------------------------
% 0.21/0.45 % (7562)Success in time 0.081 s
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------