TSTP Solution File: LAT005-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n005.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 17:10:26 EDT 2023
% Result : Unsatisfiable 3.66s 0.92s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 28 unt; 0 def)
% Number of atoms : 80 ( 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 : 51 (; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11153,plain,
$false,
inference(subsumption_resolution,[],[f11152,f21]) ).
fof(f21,axiom,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',meet_a2_and_b2) ).
fof(f11152,plain,
meet(a2,b2,r1),
inference(resolution,[],[f11151,f5]) ).
fof(f5,axiom,
! [X0] : join(X0,n0,X0),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',join_x_and_0) ).
fof(f11151,plain,
! [X0] :
( ~ join(r1,n0,X0)
| meet(a2,b2,X0) ),
inference(resolution,[],[f8801,f31]) ).
fof(f31,axiom,
join(r1,d,b2),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',join_r1_and_d) ).
fof(f8801,plain,
! [X31,X30] :
( ~ join(r1,d,X30)
| ~ join(r1,n0,X31)
| meet(a2,X30,X31) ),
inference(resolution,[],[f8715,f564]) ).
fof(f564,plain,
! [X26,X24,X25,X23] :
( ~ meet(X25,a2,X23)
| ~ join(r1,X25,X26)
| ~ join(r1,X23,X24)
| meet(a2,X26,X24) ),
inference(resolution,[],[f20,f91]) ).
fof(f91,plain,
meet(r1,a2,r1),
inference(resolution,[],[f14,f30]) ).
fof(f30,axiom,
join(r1,e,a2),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',join_r1_and_e) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',absorbtion2) ).
fof(f20,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/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',modularity2) ).
fof(f8715,plain,
meet(d,a2,n0),
inference(resolution,[],[f8714,f4155]) ).
fof(f4155,plain,
! [X7] :
( ~ meet(c2,X7,e)
| meet(d,X7,n0) ),
inference(resolution,[],[f405,f482]) ).
fof(f482,plain,
meet(d,e,n0),
inference(resolution,[],[f469,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',commutativity_of_meet) ).
fof(f469,plain,
meet(e,d,n0),
inference(resolution,[],[f468,f307]) ).
fof(f307,plain,
! [X5] :
( ~ meet(b,X5,n0)
| meet(e,X5,n0) ),
inference(resolution,[],[f170,f7]) ).
fof(f7,axiom,
! [X0] : meet(X0,n0,n0),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',meet_x_and_0) ).
fof(f170,plain,
! [X65,X66,X67] :
( ~ meet(r2,X65,X66)
| ~ meet(b,X67,X65)
| meet(e,X67,X66) ),
inference(resolution,[],[f15,f25]) ).
fof(f25,axiom,
meet(r2,b,e),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',meet_r2_and_b) ).
fof(f15,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/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',associativity_of_meet1) ).
fof(f468,plain,
meet(b,d,n0),
inference(resolution,[],[f463,f11]) ).
fof(f463,plain,
meet(d,b,n0),
inference(resolution,[],[f395,f22]) ).
fof(f22,axiom,
meet(a,b,c),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',meet_a_and_b) ).
fof(f395,plain,
! [X2] :
( ~ meet(a,X2,c)
| meet(d,X2,n0) ),
inference(resolution,[],[f171,f38]) ).
fof(f38,plain,
meet(r2,c,n0),
inference(resolution,[],[f11,f24]) ).
fof(f24,axiom,
meet(c,r2,n0),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',meet_c_and_r2) ).
fof(f171,plain,
! [X70,X68,X69] :
( ~ meet(r2,X68,X69)
| ~ meet(a,X70,X68)
| meet(d,X70,X69) ),
inference(resolution,[],[f15,f29]) ).
fof(f29,axiom,
meet(r2,a,d),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',meet_r2_and_a) ).
fof(f405,plain,
! [X3,X4,X5] :
( ~ meet(d,X3,X4)
| ~ meet(c2,X5,X3)
| meet(d,X5,X4) ),
inference(resolution,[],[f401,f15]) ).
fof(f401,plain,
meet(d,c2,d),
inference(resolution,[],[f393,f94]) ).
fof(f94,plain,
meet(a,c2,a),
inference(resolution,[],[f14,f26]) ).
fof(f26,axiom,
join(a,b,c2),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',join_a_and_b) ).
fof(f393,plain,
! [X0] :
( ~ meet(a,X0,a)
| meet(d,X0,d) ),
inference(resolution,[],[f171,f29]) ).
fof(f8714,plain,
meet(c2,a2,e),
inference(resolution,[],[f8713,f5]) ).
fof(f8713,plain,
! [X0] :
( ~ join(e,n0,X0)
| meet(c2,a2,X0) ),
inference(resolution,[],[f8380,f47]) ).
fof(f47,plain,
join(e,r1,a2),
inference(resolution,[],[f12,f30]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',commutativity_of_join) ).
fof(f8380,plain,
! [X6,X7] :
( ~ join(e,r1,X6)
| ~ join(e,n0,X7)
| meet(c2,X6,X7) ),
inference(resolution,[],[f574,f41]) ).
fof(f41,plain,
meet(r1,c2,n0),
inference(resolution,[],[f11,f28]) ).
fof(f28,axiom,
meet(c2,r1,n0),
file('/export/starexec/sandbox/tmp/tmp.jVBqVlSTDX/Vampire---4.8_10011',meet_c2_and_r1) ).
fof(f574,plain,
! [X65,X63,X66,X64] :
( ~ meet(X65,c2,X63)
| ~ join(e,X65,X66)
| ~ join(e,X63,X64)
| meet(c2,X66,X64) ),
inference(resolution,[],[f20,f351]) ).
fof(f351,plain,
meet(e,c2,e),
inference(resolution,[],[f303,f97]) ).
fof(f97,plain,
meet(b,c2,b),
inference(resolution,[],[f14,f49]) ).
fof(f49,plain,
join(b,a,c2),
inference(resolution,[],[f12,f26]) ).
fof(f303,plain,
! [X1] :
( ~ meet(b,X1,b)
| meet(e,X1,e) ),
inference(resolution,[],[f170,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 14:29:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.40 % (10124)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (10128)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.17/0.40 % (10126)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.40 % (10129)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.17/0.40 % (10130)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.17/0.40 % (10131)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)
% 0.17/0.40 % (10127)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)
% 0.17/0.40 % (10125)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.40 Detected minimum model sizes of [1]
% 0.17/0.40 Detected minimum model sizes of [1]
% 0.17/0.40 Detected maximum model sizes of [12]
% 0.17/0.40 Detected maximum model sizes of [12]
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [1]
% 0.17/0.40 Detected minimum model sizes of [1]
% 0.17/0.40 Detected maximum model sizes of [12]
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 Detected minimum model sizes of [1]
% 0.17/0.40 Detected maximum model sizes of [12]
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [3]
% 0.17/0.41 TRYING [3]
% 0.17/0.41 TRYING [4]
% 0.17/0.41 TRYING [4]
% 0.17/0.41 TRYING [4]
% 0.17/0.42 TRYING [4]
% 0.17/0.44 TRYING [5]
% 0.17/0.45 TRYING [5]
% 0.17/0.46 TRYING [5]
% 0.17/0.46 TRYING [5]
% 0.17/0.63 TRYING [6]
% 0.17/0.67 TRYING [6]
% 0.17/0.69 TRYING [6]
% 0.17/0.78 TRYING [6]
% 3.66/0.92 % (10129)First to succeed.
% 3.66/0.92 % (10129)Refutation found. Thanks to Tanya!
% 3.66/0.92 % SZS status Unsatisfiable for Vampire---4
% 3.66/0.92 % SZS output start Proof for Vampire---4
% See solution above
% 3.66/0.92 % (10129)------------------------------
% 3.66/0.92 % (10129)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.66/0.92 % (10129)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.66/0.92 % (10129)Termination reason: Refutation
% 3.66/0.92
% 3.66/0.92 % (10129)Memory used [KB]: 3709
% 3.66/0.92 % (10129)Time elapsed: 0.522 s
% 3.66/0.92 % (10129)------------------------------
% 3.66/0.92 % (10129)------------------------------
% 3.66/0.92 % (10124)Success in time 0.575 s
% 3.66/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------