TSTP Solution File: LAT005-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 13:20:13 EDT 2024
% Result : Unsatisfiable 7.06s 1.34s
% Output : Refutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 30 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 67 ( 34 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15138,plain,
$false,
inference(subsumption_resolution,[],[f15137,f29]) ).
fof(f29,axiom,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a2_and_b2) ).
fof(f15137,plain,
meet(a2,b2,r1),
inference(resolution,[],[f15136,f44]) ).
fof(f44,plain,
! [X0] : join(X0,n0,X0),
inference(resolution,[],[f8,f3]) ).
fof(f3,axiom,
! [X0] : join(n0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_0_and_x) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f15136,plain,
! [X0] :
( ~ join(r1,n0,X0)
| meet(a2,b2,X0) ),
inference(resolution,[],[f10760,f28]) ).
fof(f28,axiom,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f10760,plain,
! [X0,X1] :
( ~ join(r1,d,X0)
| ~ join(r1,n0,X1)
| meet(a2,X0,X1) ),
inference(resolution,[],[f10634,f576]) ).
fof(f576,plain,
! [X2,X3,X0,X1] :
( ~ meet(X2,a2,X0)
| ~ join(r1,X2,X3)
| ~ join(r1,X0,X1)
| meet(a2,X3,X1) ),
inference(resolution,[],[f16,f103]) ).
fof(f103,plain,
meet(r1,a2,r1),
inference(resolution,[],[f10,f27]) ).
fof(f27,axiom,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion2) ).
fof(f16,axiom,
! [X2,X0,X1,X8,X6,X7] :
( ~ meet(X0,X2,X0)
| ~ join(X0,X7,X8)
| ~ join(X0,X1,X6)
| ~ meet(X1,X2,X7)
| meet(X2,X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity2) ).
fof(f10634,plain,
meet(d,a2,n0),
inference(resolution,[],[f10633,f3727]) ).
fof(f3727,plain,
! [X0] :
( ~ meet(c2,X0,e)
| meet(d,X0,n0) ),
inference(resolution,[],[f403,f480]) ).
fof(f480,plain,
meet(d,e,n0),
inference(resolution,[],[f467,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f467,plain,
meet(e,d,n0),
inference(resolution,[],[f466,f307]) ).
fof(f307,plain,
! [X0] :
( ~ meet(b,X0,n0)
| meet(e,X0,n0) ),
inference(resolution,[],[f161,f32]) ).
fof(f32,plain,
! [X0] : meet(X0,n0,n0),
inference(resolution,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : meet(n0,X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_0_and_x) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ meet(r2,X0,X1)
| ~ meet(b,X2,X0)
| meet(e,X2,X1) ),
inference(resolution,[],[f11,f22]) ).
fof(f22,axiom,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X0,X1,X3)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X2,X4)
| meet(X3,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet1) ).
fof(f466,plain,
meet(b,d,n0),
inference(resolution,[],[f461,f7]) ).
fof(f461,plain,
meet(d,b,n0),
inference(resolution,[],[f393,f19]) ).
fof(f19,axiom,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f393,plain,
! [X0] :
( ~ meet(a,X0,c)
| meet(d,X0,n0) ),
inference(resolution,[],[f162,f34]) ).
fof(f34,plain,
meet(r2,c,n0),
inference(resolution,[],[f7,f21]) ).
fof(f21,axiom,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ meet(r2,X0,X1)
| ~ meet(a,X2,X0)
| meet(d,X2,X1) ),
inference(resolution,[],[f11,f26]) ).
fof(f26,axiom,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ meet(d,X0,X1)
| ~ meet(c2,X2,X0)
| meet(d,X2,X1) ),
inference(resolution,[],[f399,f11]) ).
fof(f399,plain,
meet(d,c2,d),
inference(resolution,[],[f391,f89]) ).
fof(f89,plain,
meet(a,c2,a),
inference(resolution,[],[f10,f23]) ).
fof(f23,axiom,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f391,plain,
! [X0] :
( ~ meet(a,X0,a)
| meet(d,X0,d) ),
inference(resolution,[],[f162,f26]) ).
fof(f10633,plain,
meet(c2,a2,e),
inference(resolution,[],[f10632,f44]) ).
fof(f10632,plain,
! [X0] :
( ~ join(e,n0,X0)
| meet(c2,a2,X0) ),
inference(resolution,[],[f10523,f48]) ).
fof(f48,plain,
join(e,r1,a2),
inference(resolution,[],[f8,f27]) ).
fof(f10523,plain,
! [X0,X1] :
( ~ join(e,r1,X0)
| ~ join(e,n0,X1)
| meet(c2,X0,X1) ),
inference(resolution,[],[f574,f37]) ).
fof(f37,plain,
meet(r1,c2,n0),
inference(resolution,[],[f7,f25]) ).
fof(f25,axiom,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f574,plain,
! [X2,X3,X0,X1] :
( ~ meet(X2,c2,X0)
| ~ join(e,X2,X3)
| ~ join(e,X0,X1)
| meet(c2,X3,X1) ),
inference(resolution,[],[f16,f349]) ).
fof(f349,plain,
meet(e,c2,e),
inference(resolution,[],[f301,f92]) ).
fof(f92,plain,
meet(b,c2,b),
inference(resolution,[],[f10,f45]) ).
fof(f45,plain,
join(b,a,c2),
inference(resolution,[],[f8,f23]) ).
fof(f301,plain,
! [X0] :
( ~ meet(b,X0,b)
| meet(e,X0,e) ),
inference(resolution,[],[f161,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.33 % Computer : n020.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 21:40:02 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % (26389)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.35 % (26391)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.35 % (26394)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.35 % (26390)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.35 % (26392)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)
% 0.10/0.35 % (26393)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.35 % (26395)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.35 % (26396)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)
% 0.10/0.35 Detected minimum model sizes of [1]
% 0.10/0.35 Detected minimum model sizes of [1]
% 0.10/0.35 Detected maximum model sizes of [12]
% 0.10/0.35 Detected maximum model sizes of [12]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 Detected minimum model sizes of [1]
% 0.10/0.35 Detected maximum model sizes of [12]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 Detected minimum model sizes of [1]
% 0.10/0.35 Detected maximum model sizes of [12]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [3]
% 0.10/0.36 TRYING [3]
% 0.10/0.36 TRYING [3]
% 0.10/0.36 TRYING [3]
% 0.10/0.37 TRYING [4]
% 0.10/0.37 TRYING [4]
% 0.10/0.37 TRYING [4]
% 0.10/0.37 TRYING [4]
% 0.18/0.43 TRYING [5]
% 0.18/0.44 TRYING [5]
% 0.18/0.44 TRYING [5]
% 0.18/0.45 TRYING [5]
% 3.09/0.77 TRYING [6]
% 3.09/0.84 TRYING [6]
% 3.71/0.88 TRYING [6]
% 3.91/0.92 TRYING [6]
% 6.45/1.34 % (26394)First to succeed.
% 7.06/1.34 % (26394)Refutation found. Thanks to Tanya!
% 7.06/1.34 % SZS status Unsatisfiable for theBenchmark
% 7.06/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 7.06/1.34 % (26394)------------------------------
% 7.06/1.34 % (26394)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.06/1.34 % (26394)Termination reason: Refutation
% 7.06/1.34
% 7.06/1.34 % (26394)Memory used [KB]: 3181
% 7.06/1.34 % (26394)Time elapsed: 0.987 s
% 7.06/1.34 % (26394)Instructions burned: 2019 (million)
% 7.06/1.34 % (26394)------------------------------
% 7.06/1.34 % (26394)------------------------------
% 7.06/1.34 % (26389)Success in time 0.995 s
%------------------------------------------------------------------------------