TSTP Solution File: LAT005-4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT005-4 : 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 : n009.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 13:20:14 EDT 2024
% Result : Unsatisfiable 30.76s 4.76s
% Output : Refutation 30.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 70 unt; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f275944,plain,
$false,
inference(subsumption_resolution,[],[f275943,f46]) ).
fof(f46,plain,
r1 != meet(b2,a2),
inference(superposition,[],[f20,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f20,axiom,
r1 != meet(a2,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_SAMs_lemma) ).
fof(f275943,plain,
r1 = meet(b2,a2),
inference(forward_demodulation,[],[f275942,f10]) ).
fof(f10,axiom,
! [X0] : join(X0,n0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_join_0) ).
fof(f275942,plain,
join(r1,n0) = meet(b2,a2),
inference(forward_demodulation,[],[f275860,f45]) ).
fof(f45,plain,
a2 = join(r1,meet(r2,b)),
inference(superposition,[],[f19,f5]) ).
fof(f19,axiom,
join(r1,meet(b,r2)) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',define_a2) ).
fof(f275860,plain,
join(r1,n0) = meet(b2,join(r1,meet(r2,b))),
inference(superposition,[],[f42946,f275591]) ).
fof(f275591,plain,
n0 = meet(b2,meet(r2,b)),
inference(forward_demodulation,[],[f275543,f5]) ).
fof(f275543,plain,
n0 = meet(b2,meet(b,r2)),
inference(superposition,[],[f275433,f596]) ).
fof(f596,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2),
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(f275433,plain,
n0 = meet(meet(b,b2),r2),
inference(superposition,[],[f10252,f275216]) ).
fof(f275216,plain,
meet(b,b2) = meet(b2,meet(a,b)),
inference(forward_demodulation,[],[f275077,f5]) ).
fof(f275077,plain,
meet(b2,b) = meet(b2,meet(a,b)),
inference(superposition,[],[f7724,f262359]) ).
fof(f262359,plain,
meet(a,b) = meet(join(a,r1),b),
inference(forward_demodulation,[],[f262337,f609]) ).
fof(f609,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(join(X0,X1),meet(X0,X2)),
inference(superposition,[],[f7,f340]) ).
fof(f340,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f236,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f236,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f120,f5]) ).
fof(f120,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f74,f41]) ).
fof(f41,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(f74,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f262337,plain,
meet(join(a,r1),b) = meet(join(a,r1),meet(a,b)),
inference(superposition,[],[f623,f262065]) ).
fof(f262065,plain,
meet(a,b) = meet(b,join(a,r1)),
inference(forward_demodulation,[],[f261264,f5]) ).
fof(f261264,plain,
meet(b,a) = meet(b,join(a,r1)),
inference(superposition,[],[f601,f187101]) ).
fof(f187101,plain,
a = meet(join(a,b),join(a,r1)),
inference(forward_demodulation,[],[f186206,f10]) ).
fof(f186206,plain,
join(a,n0) = meet(join(a,b),join(a,r1)),
inference(superposition,[],[f2750,f17]) ).
fof(f17,axiom,
n0 = meet(r1,join(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r1_complement_join_a_b_2) ).
fof(f2750,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,join(X0,X1))),
inference(unit_resulting_resolution,[],[f3,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( meet(X0,X2) != X0
| meet(X2,join(X0,X1)) = join(X0,meet(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular) ).
fof(f601,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f74]) ).
fof(f623,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f7,f119]) ).
fof(f119,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f74,f4]) ).
fof(f7724,plain,
! [X0] : meet(b2,X0) = meet(b2,meet(join(a,r1),X0)),
inference(superposition,[],[f7,f7618]) ).
fof(f7618,plain,
b2 = meet(b2,join(a,r1)),
inference(superposition,[],[f74,f7515]) ).
fof(f7515,plain,
join(a,r1) = join(a,b2),
inference(forward_demodulation,[],[f7514,f6]) ).
fof(f7514,plain,
join(r1,a) = join(a,b2),
inference(forward_demodulation,[],[f7474,f6]) ).
fof(f7474,plain,
join(r1,a) = join(b2,a),
inference(superposition,[],[f970,f461]) ).
fof(f461,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f268,f41]) ).
fof(f268,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(superposition,[],[f136,f6]) ).
fof(f136,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f41,f74]) ).
fof(f970,plain,
! [X0] : join(b2,X0) = join(r1,join(meet(r2,a),X0)),
inference(forward_demodulation,[],[f920,f5]) ).
fof(f920,plain,
! [X0] : join(b2,X0) = join(r1,join(meet(a,r2),X0)),
inference(superposition,[],[f8,f18]) ).
fof(f18,axiom,
join(r1,meet(a,r2)) = b2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',define_b2) ).
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(f10252,plain,
! [X0] : n0 = meet(meet(X0,meet(a,b)),r2),
inference(forward_demodulation,[],[f10251,f9]) ).
fof(f9,axiom,
! [X0] : n0 = meet(X0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_meet_0) ).
fof(f10251,plain,
! [X0] : meet(X0,n0) = meet(meet(X0,meet(a,b)),r2),
inference(forward_demodulation,[],[f10250,f37]) ).
fof(f37,plain,
! [X0] : n0 = meet(n0,X0),
inference(superposition,[],[f5,f9]) ).
fof(f10250,plain,
! [X0] : meet(meet(X0,meet(a,b)),r2) = meet(X0,meet(n0,meet(a,b))),
inference(forward_demodulation,[],[f10249,f626]) ).
fof(f626,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f7,f5]) ).
fof(f10249,plain,
! [X0] : meet(meet(X0,meet(a,b)),r2) = meet(X0,meet(a,meet(b,n0))),
inference(forward_demodulation,[],[f10248,f7]) ).
fof(f10248,plain,
! [X0] : meet(meet(X0,meet(a,b)),r2) = meet(X0,meet(meet(a,b),n0)),
inference(forward_demodulation,[],[f10235,f7]) ).
fof(f10235,plain,
! [X0] : meet(meet(X0,meet(a,b)),r2) = meet(meet(X0,meet(a,b)),n0),
inference(superposition,[],[f623,f9680]) ).
fof(f9680,plain,
! [X0] : n0 = meet(r2,meet(X0,meet(a,b))),
inference(superposition,[],[f8965,f7]) ).
fof(f8965,plain,
! [X0] : n0 = meet(meet(r2,X0),meet(a,b)),
inference(superposition,[],[f7557,f5]) ).
fof(f7557,plain,
! [X0] : n0 = meet(meet(a,b),meet(r2,X0)),
inference(forward_demodulation,[],[f7541,f37]) ).
fof(f7541,plain,
! [X0] : meet(n0,X0) = meet(meet(a,b),meet(r2,X0)),
inference(superposition,[],[f7,f7355]) ).
fof(f7355,plain,
n0 = meet(meet(a,b),r2),
inference(forward_demodulation,[],[f7354,f37]) ).
fof(f7354,plain,
meet(meet(a,b),r2) = meet(n0,meet(a,b)),
inference(forward_demodulation,[],[f7353,f626]) ).
fof(f7353,plain,
meet(meet(a,b),r2) = meet(a,meet(b,n0)),
inference(forward_demodulation,[],[f7195,f7]) ).
fof(f7195,plain,
meet(meet(a,b),r2) = meet(meet(a,b),n0),
inference(superposition,[],[f623,f15]) ).
fof(f15,axiom,
n0 = meet(r2,meet(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_complement_meet_a_b_2) ).
fof(f42946,plain,
! [X0] : meet(b2,join(r1,X0)) = join(r1,meet(b2,X0)),
inference(superposition,[],[f2755,f5]) ).
fof(f2755,plain,
! [X0] : meet(b2,join(r1,X0)) = join(r1,meet(X0,b2)),
inference(unit_resulting_resolution,[],[f26,f13]) ).
fof(f26,plain,
r1 = meet(r1,b2),
inference(superposition,[],[f3,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT005-4 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 21:28:26 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (9921)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (9924)WARNING: value z3 for option sas not known
% 0.15/0.37 % (9925)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (9922)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (9927)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)
% 0.15/0.37 % (9923)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (9926)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)
% 0.15/0.37 % (9928)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)
% 0.15/0.37 % (9924)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [5]
% 0.21/0.42 TRYING [4]
% 0.21/0.45 TRYING [6]
% 0.21/0.51 TRYING [5]
% 0.21/0.53 TRYING [7]
% 2.04/0.69 TRYING [8]
% 4.14/0.96 TRYING [6]
% 4.66/1.03 TRYING [9]
% 7.93/1.47 TRYING [1]
% 7.93/1.47 TRYING [2]
% 7.93/1.47 TRYING [3]
% 7.93/1.48 TRYING [4]
% 7.93/1.49 TRYING [5]
% 8.27/1.54 TRYING [6]
% 8.98/1.69 TRYING [7]
% 8.98/1.71 TRYING [10]
% 11.62/2.01 TRYING [8]
% 16.58/2.73 TRYING [9]
% 18.69/3.01 TRYING [11]
% 22.44/3.60 TRYING [7]
% 30.76/4.75 % (9928)First to succeed.
% 30.76/4.76 % (9928)Refutation found. Thanks to Tanya!
% 30.76/4.76 % SZS status Unsatisfiable for theBenchmark
% 30.76/4.76 % SZS output start Proof for theBenchmark
% See solution above
% 30.76/4.76 % (9928)------------------------------
% 30.76/4.76 % (9928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 30.76/4.76 % (9928)Termination reason: Refutation
% 30.76/4.76
% 30.76/4.76 % (9928)Memory used [KB]: 63993
% 30.76/4.76 % (9928)Time elapsed: 4.380 s
% 30.76/4.76 % (9928)Instructions burned: 15692 (million)
% 30.76/4.76 % (9928)------------------------------
% 30.76/4.76 % (9928)------------------------------
% 30.76/4.76 % (9921)Success in time 4.332 s
%------------------------------------------------------------------------------