TSTP Solution File: PLA005-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n021.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 : Fri Sep 1 21:07:17 EDT 2023
% Result : Unsatisfiable 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of formulae : 55 ( 18 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 286 ( 157 ~; 129 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 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 : 63 (; 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f217,plain,
$false,
inference(subsumption_resolution,[],[f216,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',initial_state5) ).
fof(f216,plain,
~ holds(clear(a),s0),
inference(subsumption_resolution,[],[f215,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',initial_state6) ).
fof(f215,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(subsumption_resolution,[],[f214,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',initial_state3) ).
fof(f214,plain,
( ~ holds(on(c,d),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(subsumption_resolution,[],[f213,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',initial_state7) ).
fof(f213,plain,
( ~ holds(clear(c),s0)
| ~ holds(on(c,d),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f206,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',initial_state8) ).
fof(f206,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(on(c,d),X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1) ),
inference(subsumption_resolution,[],[f204,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_a_c) ).
fof(f204,plain,
! [X1] :
( ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(on(c,d),X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| ~ differ(a,c) ),
inference(resolution,[],[f192,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.rFGwMOWC3E/Vampire---4.8_28462',pickup_4) ).
fof(f192,plain,
! [X1] :
( ~ holds(clear(a),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(on(c,d),X1)
| ~ holds(clear(b),X1) ),
inference(subsumption_resolution,[],[f190,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_b_c) ).
fof(f190,plain,
! [X1] :
( ~ holds(clear(c),X1)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(on(c,d),X1)
| ~ holds(clear(b),X1)
| ~ differ(b,c) ),
inference(resolution,[],[f152,f5]) ).
fof(f152,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f122,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.rFGwMOWC3E/Vampire---4.8_28462',pickup_2) ).
fof(f122,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0)) ),
inference(subsumption_resolution,[],[f121,f33]) ).
fof(f33,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_a_b) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',symmetry_of_differ) ).
fof(f121,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(b,a) ),
inference(resolution,[],[f104,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.rFGwMOWC3E/Vampire---4.8_28462',putdown_5) ).
fof(f104,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0)) ),
inference(subsumption_resolution,[],[f103,f35]) ).
fof(f35,plain,
differ(d,a),
inference(resolution,[],[f11,f14]) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_a_d) ).
fof(f103,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ differ(d,a) ),
inference(resolution,[],[f100,f10]) ).
fof(f100,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f99,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_c_table) ).
fof(f99,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(d),do(putdown(c,a),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(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(a),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(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.rFGwMOWC3E/Vampire---4.8_28462',pickup_1) ).
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.rFGwMOWC3E/Vampire---4.8_28462',putdown_2) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ holds(on(c,a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(b),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,a),do(putdown(X0,X1),X2))
| ~ holds(clear(b),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/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',putdown_1) ).
fof(f78,plain,
! [X1] :
( ~ holds(empty,X1)
| ~ holds(clear(d),X1)
| ~ holds(on(c,a),X1)
| ~ holds(clear(b),X1) ),
inference(subsumption_resolution,[],[f76,f17]) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_b_d) ).
fof(f76,plain,
! [X1] :
( ~ holds(clear(d),X1)
| ~ holds(empty,X1)
| ~ holds(on(c,a),X1)
| ~ holds(clear(b),X1)
| ~ differ(b,d) ),
inference(resolution,[],[f70,f5]) ).
fof(f70,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0) ),
inference(subsumption_resolution,[],[f69,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_c_d) ).
fof(f69,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,a),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/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',pickup_3) ).
fof(f64,plain,
! [X0] :
( ~ holds(on(c,a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(b),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/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',putdown_4) ).
fof(f61,plain,
! [X1] :
( ~ holds(on(c,a),do(putdown(d,b),do(pickup(d),X1)))
| ~ holds(empty,X1)
| ~ holds(clear(d),X1)
| ~ holds(clear(b),do(pickup(d),X1)) ),
inference(subsumption_resolution,[],[f59,f21]) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',differ_d_table) ).
fof(f59,plain,
! [X1] :
( ~ holds(clear(b),do(pickup(d),X1))
| ~ holds(empty,X1)
| ~ holds(clear(d),X1)
| ~ differ(d,table)
| ~ holds(on(c,a),do(putdown(d,b),do(pickup(d),X1))) ),
inference(resolution,[],[f56,f44]) ).
fof(f44,plain,
! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(on(c,a),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(d,b),on(c,a)),X2),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',prove_DB_AC) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.rFGwMOWC3E/Vampire---4.8_28462',and_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : PLA005-2 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n021.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 : Wed Aug 30 16:11:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.40 % (28585)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (28587)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 % (28599)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.41 % (28592)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.41 % (28589)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.41 % (28593)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.41 % (28591)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 Vampire---4 for (476ds/0Mi)
% 0.18/0.41 % (28596)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 Detected minimum model sizes of [1,1,1,1]
% 0.18/0.41 Detected maximum model sizes of [max,5,max,max]
% 0.18/0.41 Detected minimum model sizes of [1,1,1,1]
% 0.18/0.41 Detected maximum model sizes of [max,5,max,max]
% 0.18/0.41 TRYING [1,1,1,1]
% 0.18/0.41 TRYING [1,1,1,1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [2,1,1,1]
% 0.18/0.41 TRYING [2,1,1,1]
% 0.18/0.41 TRYING [3,1,1,1]
% 0.18/0.41 TRYING [3,1,1,1]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [2,2,1,1]
% 0.18/0.41 TRYING [2,2,1,1]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [3,2,1,1]
% 0.18/0.41 TRYING [3,2,1,1]
% 0.18/0.41 TRYING [2,2,2,1]
% 0.18/0.41 TRYING [2,2,2,1]
% 0.18/0.41 % (28596)First to succeed.
% 0.18/0.42 TRYING [2,2,1,2]
% 0.18/0.42 TRYING [2,2,1,2]
% 0.18/0.42 % (28591)Also succeeded, but the first one will report.
% 0.18/0.42 % (28596)Refutation found. Thanks to Tanya!
% 0.18/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.42 % (28596)------------------------------
% 0.18/0.42 % (28596)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.42 % (28596)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.42 % (28596)Termination reason: Refutation
% 0.18/0.42
% 0.18/0.42 % (28596)Memory used [KB]: 5500
% 0.18/0.42 % (28596)Time elapsed: 0.011 s
% 0.18/0.42 % (28596)------------------------------
% 0.18/0.42 % (28596)------------------------------
% 0.18/0.42 % (28585)Success in time 0.072 s
% 0.18/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------