TSTP Solution File: LAT032-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT032-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 07:25:41 EDT 2024
% Result : Unsatisfiable 23.30s 3.69s
% Output : Refutation 23.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70719,plain,
$false,
inference(subsumption_resolution,[],[f70718,f40796]) ).
fof(f40796,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f40795,f1]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f40795,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(X0,meet(X1,X1))),
inference(forward_demodulation,[],[f40559,f420]) ).
fof(f420,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2)),
inference(superposition,[],[f9,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_join) ).
fof(f40559,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f2851,f14547]) ).
fof(f14547,plain,
! [X0,X1] : join(X0,X1) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f14197,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f14197,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f255,f8188]) ).
fof(f8188,plain,
! [X2,X0,X1] : join(X0,X1) = join(X1,join(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f8076,f37]) ).
fof(f37,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f20,f6]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f15,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f15,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f8076,plain,
! [X2,X0,X1] : join(X0,X1) = join(X1,join(X0,join(X0,meet(X1,X2)))),
inference(superposition,[],[f455,f234]) ).
fof(f234,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f8,f6]) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f455,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),join(X0,meet(X1,X2))),
inference(superposition,[],[f4,f9]) ).
fof(f255,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))),
inference(superposition,[],[f3,f8]) ).
fof(f2851,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X1,meet(X2,X0)),
inference(superposition,[],[f603,f119]) ).
fof(f119,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f7,f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f603,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f108,f7]) ).
fof(f108,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2),
inference(superposition,[],[f7,f5]) ).
fof(f70718,plain,
meet(xx,join(yy,zz)) != meet(xx,join(zz,yy)),
inference(superposition,[],[f70566,f2590]) ).
fof(f2590,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,X2))),
inference(superposition,[],[f111,f420]) ).
fof(f111,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f70566,plain,
meet(xx,join(yy,zz)) != meet(xx,join(zz,meet(xx,yy))),
inference(forward_demodulation,[],[f70069,f6]) ).
fof(f70069,plain,
meet(xx,join(yy,zz)) != meet(xx,join(meet(xx,yy),zz)),
inference(superposition,[],[f10,f2532]) ).
fof(f2532,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f420,f4]) ).
fof(f10,axiom,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT032-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 12:18:18 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (19568)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (19571)WARNING: value z3 for option sas not known
% 0.13/0.37 % (19571)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (19573)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (19572)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (19575)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (19570)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (19574)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (19569)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [3]
% 0.13/0.41 TRYING [5]
% 0.20/0.41 TRYING [4]
% 0.20/0.48 TRYING [6]
% 0.20/0.49 TRYING [5]
% 2.10/0.66 TRYING [7]
% 2.10/0.69 TRYING [6]
% 5.03/1.07 TRYING [7]
% 5.03/1.08 TRYING [8]
% 7.69/1.47 TRYING [1]
% 7.69/1.47 TRYING [2]
% 7.69/1.48 TRYING [3]
% 7.69/1.48 TRYING [4]
% 8.05/1.50 TRYING [5]
% 8.40/1.58 TRYING [6]
% 9.88/1.77 TRYING [7]
% 11.38/2.02 TRYING [9]
% 13.14/2.29 TRYING [8]
% 14.26/2.40 TRYING [8]
% 21.52/3.49 TRYING [10]
% 23.21/3.68 % (19571)First to succeed.
% 23.30/3.68 % (19571)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19568"
% 23.30/3.69 % (19571)Refutation found. Thanks to Tanya!
% 23.30/3.69 % SZS status Unsatisfiable for theBenchmark
% 23.30/3.69 % SZS output start Proof for theBenchmark
% See solution above
% 23.30/3.69 % (19571)------------------------------
% 23.30/3.69 % (19571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 23.30/3.69 % (19571)Termination reason: Refutation
% 23.30/3.69
% 23.30/3.69 % (19571)Memory used [KB]: 30628
% 23.30/3.69 % (19571)Time elapsed: 3.298 s
% 23.30/3.69 % (19571)Instructions burned: 7958 (million)
% 23.30/3.69 % (19568)Success in time 3.317 s
%------------------------------------------------------------------------------