TSTP Solution File: LAT019-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT019-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 13:20:26 EDT 2024
% Result : Unsatisfiable 17.51s 3.33s
% Output : Refutation 17.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 73 ( 73 unt; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 179 ( 179 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36006,plain,
$false,
inference(trivial_inequality_removal,[],[f36005]) ).
fof(f36005,plain,
join(a,meet(b,c)) != join(a,meet(b,c)),
inference(superposition,[],[f35298,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f35298,plain,
join(a,meet(b,c)) != join(meet(b,c),a),
inference(superposition,[],[f10,f34921]) ).
fof(f34921,plain,
! [X2,X0,X1] : join(meet(X1,X2),X0) = meet(join(X0,X1),join(X0,X2)),
inference(backward_demodulation,[],[f24938,f34920]) ).
fof(f34920,plain,
! [X2,X0,X1] : join(meet(X1,X0),X2) = join(X2,meet(join(X2,X1),X0)),
inference(forward_demodulation,[],[f34919,f28848]) ).
fof(f28848,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = meet(join(meet(X0,X1),X2),join(X1,join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f28615,f4]) ).
fof(f28615,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = meet(join(meet(X0,X1),X2),join(join(meet(X0,X1),X2),X1)),
inference(superposition,[],[f967,f807]) ).
fof(f807,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X1),
inference(superposition,[],[f735,f4]) ).
fof(f735,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(forward_demodulation,[],[f708,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f708,plain,
! [X0,X1] : join(join(X1,X0),X0) = join(join(X1,X0),join(X1,X0)),
inference(superposition,[],[f641,f62]) ).
fof(f62,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f49,f4]) ).
fof(f49,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f6,f2]) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f641,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(superposition,[],[f54,f49]) ).
fof(f54,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f4]) ).
fof(f967,plain,
! [X2,X0,X1] : join(X2,meet(X1,X0)) = meet(join(X2,meet(X1,X0)),join(X2,X0)),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,meet(X1,X2)),join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quasi_lattice2) ).
fof(f34919,plain,
! [X2,X0,X1] : join(X2,meet(join(X2,X1),X0)) = meet(join(meet(X1,X0),X2),join(X0,join(meet(X1,X0),X2))),
inference(forward_demodulation,[],[f34918,f4]) ).
fof(f34918,plain,
! [X2,X0,X1] : join(X2,meet(join(X2,X1),X0)) = meet(join(meet(X1,X0),X2),join(join(meet(X1,X0),X2),X0)),
inference(forward_demodulation,[],[f34917,f62]) ).
fof(f34917,plain,
! [X2,X0,X1] : meet(join(meet(X1,X0),X2),join(join(meet(X1,X0),X2),X0)) = join(X2,meet(join(X1,join(X2,X1)),X0)),
inference(forward_demodulation,[],[f34916,f11750]) ).
fof(f11750,plain,
! [X2,X0,X1] : join(meet(X1,X0),X2) = join(X2,meet(X0,X1)),
inference(forward_demodulation,[],[f11749,f2]) ).
fof(f11749,plain,
! [X2,X0,X1] : join(meet(X1,X0),X2) = join(X2,meet(X0,join(X1,X1))),
inference(forward_demodulation,[],[f11613,f74]) ).
fof(f74,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
inference(superposition,[],[f9,f3]) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_law) ).
fof(f11613,plain,
! [X2,X0,X1] : join(meet(X1,X0),X2) = join(X2,join(meet(X1,X0),meet(X0,X1))),
inference(superposition,[],[f3975,f9559]) ).
fof(f9559,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f49,f551]) ).
fof(f551,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X0,X1)),
inference(forward_demodulation,[],[f550,f439]) ).
fof(f439,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,join(X0,X1))),
inference(forward_demodulation,[],[f438,f2]) ).
fof(f438,plain,
! [X0,X1] : meet(X0,join(X1,X1)) = meet(X1,meet(X0,join(X0,X1))),
inference(forward_demodulation,[],[f437,f9]) ).
fof(f437,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X1,meet(X0,join(X0,X1))),
inference(forward_demodulation,[],[f423,f195]) ).
fof(f195,plain,
! [X2,X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = meet(X1,meet(X0,join(X0,X2))),
inference(forward_demodulation,[],[f194,f73]) ).
fof(f73,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(X0,meet(X0,X1)),
inference(superposition,[],[f9,f1]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f194,plain,
! [X2,X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = meet(X1,join(X0,meet(X0,X2))),
inference(forward_demodulation,[],[f175,f74]) ).
fof(f175,plain,
! [X2,X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X1,meet(X0,X2))),
inference(superposition,[],[f73,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2),
inference(superposition,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f423,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(meet(X0,X1),join(meet(X0,X1),X1)),
inference(superposition,[],[f73,f321]) ).
fof(f321,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(forward_demodulation,[],[f294,f1]) ).
fof(f294,plain,
! [X0,X1] : meet(meet(X1,X0),X0) = meet(meet(X1,X0),meet(X1,X0)),
inference(superposition,[],[f227,f24]) ).
fof(f24,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f11,f3]) ).
fof(f11,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f5,f1]) ).
fof(f227,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f16,f11]) ).
fof(f16,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f3]) ).
fof(f550,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,meet(X1,join(X1,X0))),
inference(forward_demodulation,[],[f529,f131]) ).
fof(f131,plain,
! [X2,X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = meet(X0,meet(X1,join(X1,X2))),
inference(forward_demodulation,[],[f130,f73]) ).
fof(f130,plain,
! [X2,X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = meet(X0,join(X1,meet(X1,X2))),
inference(forward_demodulation,[],[f121,f9]) ).
fof(f121,plain,
! [X2,X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f73,f5]) ).
fof(f529,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(meet(X0,X1),join(meet(X0,X1),X0)),
inference(superposition,[],[f73,f394]) ).
fof(f394,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X1),
inference(superposition,[],[f321,f3]) ).
fof(f3975,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(X0,join(X2,X1)),
inference(superposition,[],[f1738,f4]) ).
fof(f1738,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f571,f54]) ).
fof(f571,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f50,f6]) ).
fof(f50,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f6,f4]) ).
fof(f34916,plain,
! [X2,X0,X1] : meet(join(meet(X1,X0),X2),join(join(meet(X1,X0),X2),X0)) = join(meet(X0,join(X1,join(X2,X1))),X2),
inference(forward_demodulation,[],[f34915,f2290]) ).
fof(f2290,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X2)),X3) = join(meet(X1,X2),join(meet(X0,X1),X3)),
inference(superposition,[],[f50,f74]) ).
fof(f34915,plain,
! [X2,X0,X1] : meet(join(meet(X1,X0),X2),join(join(meet(X1,X0),X2),X0)) = join(meet(X0,join(X2,X1)),join(meet(X1,X0),X2)),
inference(forward_demodulation,[],[f34667,f4]) ).
fof(f34667,plain,
! [X2,X0,X1] : meet(join(meet(X1,X0),X2),join(join(meet(X1,X0),X2),X0)) = join(join(meet(X1,X0),X2),meet(X0,join(X2,X1))),
inference(superposition,[],[f117,f5787]) ).
fof(f5787,plain,
! [X2,X0,X1] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f5681,f9]) ).
fof(f5681,plain,
! [X2,X0,X1] : meet(X0,join(meet(X1,X0),X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(superposition,[],[f86,f227]) ).
fof(f86,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(superposition,[],[f9,f4]) ).
fof(f117,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(X0,meet(X1,X0)),
inference(superposition,[],[f73,f3]) ).
fof(f24938,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = meet(join(X0,X1),join(X0,X2)),
inference(backward_demodulation,[],[f998,f24937]) ).
fof(f24937,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X1,meet(X0,X2)),X0),
inference(forward_demodulation,[],[f24710,f11]) ).
fof(f24710,plain,
! [X2,X0,X1] : meet(X0,meet(X0,join(X1,X2))) = meet(join(X1,meet(X0,X2)),X0),
inference(superposition,[],[f211,f97]) ).
fof(f97,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f82,f9]) ).
fof(f82,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,X1)) = meet(X0,join(X2,meet(X0,X1))),
inference(superposition,[],[f9,f11]) ).
fof(f211,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f16,f24]) ).
fof(f998,plain,
! [X2,X0,X1] : join(X0,meet(join(X0,X1),X2)) = meet(join(X0,meet(join(X0,X1),X2)),join(X0,X1)),
inference(superposition,[],[f8,f49]) ).
fof(f10,axiom,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity_law_dual) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT019-1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n014.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 : Mon Apr 29 21:39:04 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (1079)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (1083)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (1084)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)
% 0.12/0.35 % (1085)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)
% 0.12/0.35 % (1081)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (1086)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)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 % (1082)WARNING: value z3 for option sas not known
% 0.12/0.36 % (1080)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.36 TRYING [4]
% 0.17/0.36 TRYING [1]
% 0.17/0.37 TRYING [2]
% 0.17/0.37 % (1082)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)
% 0.17/0.39 TRYING [3]
% 0.17/0.41 TRYING [5]
% 0.17/0.46 TRYING [4]
% 1.37/0.55 TRYING [6]
% 2.41/0.73 TRYING [5]
% 3.84/0.98 TRYING [7]
% 6.18/1.45 TRYING [1]
% 6.18/1.45 TRYING [2]
% 6.18/1.45 TRYING [3]
% 6.78/1.47 TRYING [4]
% 7.01/1.52 TRYING [5]
% 8.12/1.71 TRYING [6]
% 8.12/1.74 TRYING [6]
% 9.89/1.98 TRYING [8]
% 11.78/2.31 TRYING [7]
% 17.51/3.32 % (1085)First to succeed.
% 17.51/3.33 % (1085)Refutation found. Thanks to Tanya!
% 17.51/3.33 % SZS status Unsatisfiable for theBenchmark
% 17.51/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 17.51/3.33 % (1085)------------------------------
% 17.51/3.33 % (1085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 17.51/3.33 % (1085)Termination reason: Refutation
% 17.51/3.33
% 17.51/3.33 % (1085)Memory used [KB]: 26166
% 17.51/3.33 % (1085)Time elapsed: 2.983 s
% 17.51/3.33 % (1085)Instructions burned: 6119 (million)
% 17.51/3.33 % (1085)------------------------------
% 17.51/3.33 % (1085)------------------------------
% 17.51/3.33 % (1079)Success in time 3 s
%------------------------------------------------------------------------------