TSTP Solution File: PLA004-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PLA004-2 : 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 : n012.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 : Tue Apr 30 14:41:57 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 280 ( 154 ~; 126 |; 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 : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,plain,
$false,
inference(subsumption_resolution,[],[f135,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).
fof(f135,plain,
~ holds(clear(a),s0),
inference(subsumption_resolution,[],[f134,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
fof(f134,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(subsumption_resolution,[],[f133,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f133,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f126,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
fof(f126,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f124,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).
fof(f124,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,b) ),
inference(resolution,[],[f117,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(f117,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f116,f18]) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_table) ).
fof(f116,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ differ(b,table) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) ),
inference(resolution,[],[f112,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(f112,plain,
! [X0] :
( ~ holds(holding(b),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(holding(b),do(pickup(b),X0)) ),
inference(resolution,[],[f109,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(f109,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f107,f36]) ).
fof(f36,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f107,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),X0)
| ~ differ(c,b) ),
inference(resolution,[],[f104,f5]) ).
fof(f104,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0)) ),
inference(subsumption_resolution,[],[f103,f34]) ).
fof(f34,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).
fof(f103,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ differ(c,a) ),
inference(resolution,[],[f92,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(f92,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f91,f18]) ).
fof(f91,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),do(putdown(b,a),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) ),
inference(resolution,[],[f84,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(f84,plain,
! [X2,X0,X1] :
( ~ holds(on(b,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(c),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(b,a),do(putdown(X0,X1),X2))
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(clear(c),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(c),X0)
| ~ holds(on(b,a),X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f76,f16]) ).
fof(f76,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(b,a),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c) ),
inference(resolution,[],[f70,f5]) ).
fof(f70,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(b,a),X0) ),
inference(subsumption_resolution,[],[f69,f16]) ).
fof(f69,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(on(b,a),X0)
| ~ differ(b,c) ),
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(b,a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(b),do(pickup(c),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(b,a),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,[],[f59,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).
fof(f59,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(on(b,a),do(putdown(c,b),do(pickup(c),X0))) ),
inference(resolution,[],[f56,f44]) ).
fof(f44,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(on(b,a),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(b,a),on(c,b)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_CBA) ).
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 : PLA004-2 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.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 : Tue Apr 30 02:12:27 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (27887)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (27888)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (27894)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)
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 % (27893)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (27892)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 % (27890)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)
% 0.21/0.39 % (27889)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (27891)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39 TRYING [2]
% 0.21/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.21/0.39 Detected maximum model sizes of [max,5,max,max]
% 0.21/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.21/0.39 Detected maximum model sizes of [max,5,max,max]
% 0.21/0.39 TRYING [1,1,1,1]
% 0.21/0.39 TRYING [1,1,1,1]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [2,1,1,1]
% 0.21/0.39 TRYING [2,1,1,1]
% 0.21/0.39 TRYING [3,1,1,1]
% 0.21/0.40 TRYING [3,1,1,1]
% 0.21/0.40 % (27893)First to succeed.
% 0.21/0.40 TRYING [2,2,1,1]
% 0.21/0.40 TRYING [2,2,1,1]
% 0.21/0.40 % (27893)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (27893)------------------------------
% 0.21/0.40 % (27893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (27893)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (27893)Memory used [KB]: 877
% 0.21/0.40 % (27893)Time elapsed: 0.012 s
% 0.21/0.40 % (27893)Instructions burned: 12 (million)
% 0.21/0.40 % (27893)------------------------------
% 0.21/0.40 % (27893)------------------------------
% 0.21/0.40 % (27887)Success in time 0.04 s
%------------------------------------------------------------------------------