TSTP Solution File: PLA013-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PLA013-1 : 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 : n003.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 14:41:59 EDT 2024
% Result : Unsatisfiable 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 272 ( 150 ~; 122 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(subsumption_resolution,[],[f133,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f133,plain,
~ holds(clear(a),s0),
inference(subsumption_resolution,[],[f132,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f132,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(subsumption_resolution,[],[f131,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f131,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f124,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f124,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f122,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f122,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ differ(a,c) ),
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/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f117,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f115,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f115,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c) ),
inference(resolution,[],[f112,f5]) ).
fof(f112,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f111,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f111,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f108,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/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f108,plain,
! [X0] :
( ~ holds(holding(c),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(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ~ holds(clear(b),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))
| ~ holds(holding(c),do(pickup(c),X0)) ),
inference(resolution,[],[f94,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/sandbox/benchmark/theBenchmark.p',putdown_3) ).
fof(f94,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(subsumption_resolution,[],[f93,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f93,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ differ(a,b) ),
inference(resolution,[],[f88,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/sandbox/benchmark/theBenchmark.p',putdown_5) ).
fof(f88,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f87,f20]) ).
fof(f87,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f83,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/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ holds(on(c,b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f71,f2]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(on(c,b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2)) ),
inference(resolution,[],[f68,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/sandbox/benchmark/theBenchmark.p',putdown_1) ).
fof(f68,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f66,f34]) ).
fof(f34,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f66,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,a) ),
inference(resolution,[],[f63,f5]) ).
fof(f63,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0) ),
inference(subsumption_resolution,[],[f62,f34]) ).
fof(f62,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(on(c,b),X0)
| ~ differ(c,a) ),
inference(resolution,[],[f60,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/sandbox/benchmark/theBenchmark.p',pickup_3) ).
fof(f60,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(subsumption_resolution,[],[f58,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f58,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table)
| ~ holds(on(c,b),do(pickup(a),X0)) ),
inference(resolution,[],[f56,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ holds(on(a,c),do(putdown(X0,X1),X2))
| ~ holds(on(c,b),X2) ),
inference(resolution,[],[f44,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/sandbox/benchmark/theBenchmark.p',putdown_4) ).
fof(f44,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(a,c),on(c,b)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ACB) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : PLA013-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 02:24:18 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (30686)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (30688)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (30693)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)
% 0.10/0.34 % (30689)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)
% 0.10/0.34 % (30690)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.34 % (30692)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.34 % (30691)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.34 % (30687)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.34 TRYING [1]
% 0.10/0.34 Detected minimum model sizes of [1,1,1,1]
% 0.10/0.34 Detected minimum model sizes of [1,1,1,1]
% 0.10/0.34 Detected maximum model sizes of [max,5,max,max]
% 0.10/0.34 Detected maximum model sizes of [max,5,max,max]
% 0.10/0.34 TRYING [1,1,1,1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [1,1,1,1]
% 0.10/0.34 TRYING [2,1,1,1]
% 0.10/0.34 TRYING [2,1,1,1]
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [3,1,1,1]
% 0.10/0.34 TRYING [3,1,1,1]
% 0.10/0.34 TRYING [2,2,1,1]
% 0.10/0.34 TRYING [2,2,1,1]
% 0.10/0.34 % (30692)First to succeed.
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3,2,1,1]
% 0.10/0.34 TRYING [3,2,1,1]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 % (30692)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (30692)------------------------------
% 0.10/0.34 % (30692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.34 % (30692)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (30692)Memory used [KB]: 876
% 0.10/0.34 % (30692)Time elapsed: 0.008 s
% 0.10/0.34 % (30692)Instructions burned: 12 (million)
% 0.10/0.34 % (30692)------------------------------
% 0.10/0.34 % (30692)------------------------------
% 0.10/0.34 % (30686)Success in time 0.022 s
%------------------------------------------------------------------------------