TSTP Solution File: PLA009-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PLA009-2 : 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 : n008.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 : Sun May 5 08:46:41 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 49 ( 17 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 262 ( 144 ~; 118 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 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 : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(subsumption_resolution,[],[f148,f34]) ).
fof(f34,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f148,plain,
~ differ(c,a),
inference(subsumption_resolution,[],[f145,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f145,plain,
( ~ holds(clear(c),s0)
| ~ differ(c,a) ),
inference(resolution,[],[f138,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(f138,plain,
~ holds(clear(c),do(pickup(a),s0)),
inference(subsumption_resolution,[],[f137,f36]) ).
fof(f36,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f137,plain,
( ~ holds(clear(c),do(pickup(a),s0))
| ~ differ(c,b) ),
inference(resolution,[],[f131,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(f131,plain,
~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0))),
inference(subsumption_resolution,[],[f130,f34]) ).
fof(f130,plain,
( ~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(c,a) ),
inference(resolution,[],[f129,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f129,plain,
! [X0] :
( ~ holds(on(X0,d),s0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(X0,a) ),
inference(subsumption_resolution,[],[f128,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f128,plain,
! [X0] :
( ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(on(X0,d),s0)
| ~ differ(X0,a)
| ~ holds(clear(b),s0) ),
inference(subsumption_resolution,[],[f127,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f127,plain,
! [X0] :
( ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(clear(a),s0)
| ~ holds(on(X0,d),s0)
| ~ differ(X0,a)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f121,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f121,plain,
! [X0,X1] :
( ~ holds(empty,X0)
| ~ holds(clear(X1),do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(clear(a),X0)
| ~ holds(on(X1,d),X0)
| ~ differ(X1,a)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f119,f33]) ).
fof(f33,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f119,plain,
! [X0,X1] :
( ~ holds(clear(a),X0)
| ~ holds(clear(X1),do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(empty,X0)
| ~ holds(on(X1,d),X0)
| ~ differ(X1,a)
| ~ holds(clear(b),X0)
| ~ differ(b,a) ),
inference(resolution,[],[f116,f5]) ).
fof(f116,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(a),X1)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(empty,X1)
| ~ holds(on(X0,d),X1)
| ~ differ(X0,a) ),
inference(subsumption_resolution,[],[f115,f11]) ).
fof(f115,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(on(X0,d),X1)
| ~ differ(X0,a) ),
inference(resolution,[],[f111,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(f111,plain,
! [X0,X1] :
( ~ holds(on(X1,d),do(pickup(a),X0))
| ~ differ(a,X1)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(X1),do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(clear(b),do(pickup(a),X0)) ),
inference(resolution,[],[f107,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(f107,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1))) ),
inference(subsumption_resolution,[],[f106,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f106,plain,
! [X0,X1] :
( ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,table) ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table) ),
inference(resolution,[],[f101,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(f101,plain,
! [X0,X1] :
( ~ holds(holding(a),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1))) ),
inference(subsumption_resolution,[],[f100,f15]) ).
fof(f100,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table)
| ~ holds(holding(a),do(pickup(a),X1)) ),
inference(duplicate_literal_removal,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(holding(a),do(pickup(a),X1)) ),
inference(resolution,[],[f85,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ holds(on(a,b),do(putdown(X1,X2),do(pickup(X1),X3)))
| ~ holds(on(X0,d),do(putdown(X1,X2),do(pickup(X1),X3)))
| ~ holds(clear(X0),do(putdown(X1,X2),do(pickup(X1),X3)))
| ~ holds(clear(X2),do(pickup(X1),X3))
| ~ differ(a,X0)
| ~ holds(empty,X3)
| ~ holds(clear(X1),X3)
| ~ differ(X1,table) ),
inference(resolution,[],[f66,f2]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ holds(holding(X1),X3)
| ~ holds(clear(X0),do(putdown(X1,X2),X3))
| ~ holds(on(X0,d),do(putdown(X1,X2),X3))
| ~ holds(on(a,b),do(putdown(X1,X2),X3))
| ~ holds(clear(X2),X3)
| ~ differ(a,X0) ),
inference(resolution,[],[f60,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(f60,plain,
! [X0,X1] :
( ~ holds(empty,X0)
| ~ differ(a,X1)
| ~ holds(clear(X1),X0)
| ~ holds(on(X1,d),X0)
| ~ holds(on(a,b),X0) ),
inference(resolution,[],[f54,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/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f54,plain,
! [X0,X1] :
( ~ holds(clear(d),do(pickup(X0),X1))
| ~ holds(on(a,b),X1)
| ~ differ(a,X0) ),
inference(resolution,[],[f44,f4]) ).
fof(f44,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(clear(d),on(a,b)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_D_AB) ).
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
% 0.03/0.13 % Problem : PLA009-2 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.37 % Computer : n008.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Fri May 3 18:36:38 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % (18863)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (18869)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (18866)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 % (18867)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 % (18870)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 % (18868)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 % (18865)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 TRYING [1]
% 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 % (18864)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39 TRYING [1,1,1,1]
% 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 [2,1,1,1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [2,1,1,1]
% 0.21/0.39 TRYING [3,1,1,1]
% 0.21/0.39 TRYING [3,1,1,1]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 % (18869)First to succeed.
% 0.21/0.39 TRYING [2,2,1,1]
% 0.21/0.39 TRYING [2,2,1,1]
% 0.21/0.39 % (18869)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18863"
% 0.21/0.39 TRYING [3]
% 0.21/0.40 TRYING [3,2,1,1]
% 0.21/0.40 TRYING [3,2,1,1]
% 0.21/0.40 % (18869)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 % (18869)------------------------------
% 0.21/0.40 % (18869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (18869)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (18869)Memory used [KB]: 883
% 0.21/0.40 % (18869)Time elapsed: 0.009 s
% 0.21/0.40 % (18869)Instructions burned: 15 (million)
% 0.21/0.40 % (18863)Success in time 0.024 s
%------------------------------------------------------------------------------